Pre-Algebra, Student Edition
Pre-Algebra, Student Edition
1st Edition
ISBN: 9780078885150
Author: McGraw-Hill
Publisher: Glencoe/McGraw-Hill
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Question
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Chapter SH, Problem 8.1.3EP
To determine

To calculate: To determine whether the relation is function or not.

Expert Solution & Answer
Check Mark

Answer to Problem 8.1.3EP

Relation is NOT a function

Explanation of Solution

Given information: Relation is

  Pre-Algebra, Student Edition, Chapter SH, Problem 8.1.3EP , additional homework tip 1

Formula Used:

A function is the set of ordered pairs in which each x-element has only one y-element associated with it.

Calculation:

Relation is given as

  Pre-Algebra, Student Edition, Chapter SH, Problem 8.1.3EP , additional homework tip 2

From graph the ordered pairs are

  (1,2),(2,3),(4,2),(4,3),(6,4)

Consider each x-element

  1 has only one y-element associated with it

  2 has only one y-element associated with it

  4 has two y-element associated with it - 2 and 3

  6 has only one y-element associated with it

Since, one x-element has more than one y-element associated with it, therefore the relation is NOT a function

Conclusion:

Hence, relation is NOT a function.

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Chapter SH, Problem 8.1.2EP
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Chapter SH, Problem 8.1.4EP

Chapter SH Solutions

Pre-Algebra, Student Edition

Ch. SH - Prob. 1.1.1EPCh. SH - Prob. 1.1.2EPCh. SH - Prob. 1.1.3EPCh. SH - Prob. 1.1.4EPCh. SH - Prob. 1.1.5EPCh. SH - Prob. 1.1.6EPCh. SH - Prob. 1.1.7EPCh. SH - Prob. 1.1.8EPCh. SH - Prob. 1.1.9EPCh. SH - Prob. 1.1.10EP
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SH - Prob. 4.1.10EPCh. SH - Prob. 4.1.11EPCh. SH - Prob. 4.1.12EPCh. SH - Prob. 4.1.13EPCh. SH - Prob. 4.1.14EPCh. SH - Prob. 4.1.15EPCh. SH - Prob. 4.1.16EPCh. SH - Prob. 4.1.17EPCh. SH - Prob. 4.1.18EPCh. SH - Prob. 4.1.19EPCh. SH - Prob. 4.1.20EPCh. SH - Prob. 4.1.21EPCh. SH - Prob. 4.2.1EPCh. SH - Prob. 4.2.2EPCh. SH - Prob. 4.2.3EPCh. SH - Prob. 4.2.4EPCh. SH - Prob. 4.2.5EPCh. SH - Prob. 4.2.6EPCh. SH - Prob. 4.2.7EPCh. SH - Prob. 4.2.8EPCh. SH - Prob. 4.2.9EPCh. SH - Prob. 4.2.10EPCh. SH - Prob. 4.2.11EPCh. SH - Prob. 4.2.12EPCh. SH - Prob. 4.2.13EPCh. SH - Prob. 4.2.14EPCh. SH - Prob. 4.2.15EPCh. SH - Prob. 4.2.16EPCh. SH - Prob. 4.2.17EPCh. SH - Prob. 4.2.18EPCh. SH - Prob. 4.2.19EPCh. SH - Prob. 4.2.20EPCh. SH - Prob. 4.2.21EPCh. SH - Prob. 4.2.22EPCh. SH - Prob. 4.2.23EPCh. SH - Prob. 4.2.24EPCh. SH - Prob. 4.3.1EPCh. SH - Prob. 4.3.2EPCh. SH - Prob. 4.3.3EPCh. SH - Prob. 4.3.4EPCh. SH - Prob. 4.3.5EPCh. SH - Prob. 4.3.6EPCh. SH - Prob. 4.3.7EPCh. SH - Prob. 4.3.8EPCh. SH - Prob. 4.3.9EPCh. SH - Prob. 4.3.10EPCh. SH - Prob. 4.3.11EPCh. SH - Prob. 4.3.12EPCh. SH - Prob. 4.3.13EPCh. SH - Prob. 4.3.14EPCh. SH - Prob. 4.3.15EPCh. SH - Prob. 4.3.16EPCh. SH - Prob. 4.3.17EPCh. SH - Prob. 4.3.18EPCh. SH - Prob. 4.3.19EPCh. SH - Prob. 4.3.20EPCh. SH - Prob. 4.3.21EPCh. SH - Prob. 4.4.1EPCh. SH - Prob. 4.4.2EPCh. SH - Prob. 4.4.3EPCh. SH - Prob. 4.4.4EPCh. SH - Prob. 4.4.5EPCh. SH - Prob. 4.4.6EPCh. SH - Prob. 4.4.7EPCh. SH - Prob. 4.4.8EPCh. SH - Prob. 4.4.9EPCh. SH - Prob. 4.4.10EPCh. SH - Prob. 4.4.11EPCh. SH - Prob. 4.4.12EPCh. SH - Prob. 4.4.13EPCh. SH - Prob. 4.4.14EPCh. SH - Prob. 4.4.15EPCh. SH - Prob. 4.4.16EPCh. SH - Prob. 4.4.17EPCh. SH - Prob. 4.4.18EPCh. SH - Prob. 4.4.19EPCh. SH - Prob. 4.4.20EPCh. SH - Prob. 4.4.21EPCh. SH - Prob. 4.5.1EPCh. SH - Prob. 4.5.2EPCh. SH - Prob. 4.5.3EPCh. SH - Prob. 4.5.4EPCh. SH - Prob. 4.5.5EPCh. SH - Prob. 4.5.6EPCh. SH - Prob. 4.5.7EPCh. SH - Prob. 4.5.8EPCh. SH - Prob. 4.5.9EPCh. SH - Prob. 4.5.10EPCh. 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SH - Prob. 6.3.5EPCh. SH - Prob. 6.3.6EPCh. SH - Prob. 6.3.7EPCh. SH - Prob. 6.3.8EPCh. SH - Prob. 6.3.9EPCh. SH - Prob. 6.3.10EPCh. SH - Prob. 6.3.11EPCh. SH - Prob. 6.3.12EPCh. SH - Prob. 6.3.13EPCh. SH - Prob. 6.3.14EPCh. SH - Prob. 6.3.15EPCh. SH - Prob. 6.3.16EPCh. SH - Prob. 6.4.1EPCh. SH - Prob. 6.4.2EPCh. SH - Prob. 6.4.3EPCh. SH - Prob. 6.4.4EPCh. SH - Prob. 6.4.5EPCh. SH - Prob. 6.4.6EPCh. SH - Prob. 6.4.7EPCh. SH - Prob. 6.4.8EPCh. SH - Prob. 6.5.1EPCh. SH - Prob. 6.5.2EPCh. SH - Prob. 6.5.3EPCh. SH - Prob. 6.5.4EPCh. SH - Prob. 6.5.5EPCh. SH - Prob. 6.5.6EPCh. SH - Prob. 6.5.7EPCh. SH - Prob. 6.5.8EPCh. SH - Prob. 6.5.9EPCh. SH - Prob. 6.5.10EPCh. SH - Prob. 6.5.11EPCh. SH - Prob. 6.5.12EPCh. SH - Prob. 6.5.13EPCh. SH - Prob. 6.5.14EPCh. SH - Prob. 6.5.15EPCh. SH - Prob. 6.6.1EPCh. SH - Prob. 6.6.2EPCh. SH - Prob. 6.6.3EPCh. SH - Prob. 6.6.4EPCh. SH - Prob. 6.6.5EPCh. SH - Prob. 6.6.6EPCh. SH - Prob. 6.7.1EPCh. SH - Prob. 6.7.2EPCh. SH - Prob. 6.7.3EPCh. SH - Prob. 6.7.4EPCh. SH - Prob. 6.8.1EPCh. SH - Prob. 6.8.2EPCh. SH - Prob. 6.8.3EPCh. SH - Prob. 6.9.1EPCh. SH - Prob. 6.9.2EPCh. SH - Prob. 6.9.3EPCh. SH - Prob. 7.1.1EPCh. SH - Prob. 7.1.2EPCh. SH - Prob. 7.1.3EPCh. SH - Prob. 7.1.4EPCh. SH - Prob. 7.1.5EPCh. SH - Prob. 7.1.6EPCh. SH - Prob. 7.1.7EPCh. SH - Prob. 7.1.8EPCh. SH - Prob. 7.1.9EPCh. SH - Prob. 7.1.10EPCh. SH - Prob. 7.1.11EPCh. SH - Prob. 7.1.12EPCh. SH - Prob. 7.1.13EPCh. SH - Prob. 7.1.14EPCh. SH - Prob. 7.1.15EPCh. SH - Prob. 7.1.16EPCh. SH - Prob. 7.1.17EPCh. SH - Prob. 7.1.18EPCh. SH - Prob. 7.1.19EPCh. SH - Prob. 7.1.20EPCh. SH - Prob. 7.1.21EPCh. SH - Prob. 7.2.1EPCh. SH - Prob. 7.2.2EPCh. SH - Prob. 7.2.3EPCh. SH - Prob. 7.2.4EPCh. SH - Prob. 7.2.5EPCh. SH - Prob. 7.2.6EPCh. SH - Prob. 7.2.7EPCh. SH - Prob. 7.2.8EPCh. SH - Prob. 7.2.9EPCh. SH - Prob. 7.2.10EPCh. SH - Prob. 7.2.11EPCh. SH - Prob. 7.2.12EPCh. SH - Prob. 7.2.13EPCh. SH - Prob. 7.3.1EPCh. SH - Prob. 7.3.2EPCh. SH - Prob. 7.3.3EPCh. SH - Prob. 7.3.4EPCh. SH - Prob. 7.3.5EPCh. SH - Prob. 7.3.6EPCh. SH - Prob. 7.3.7EPCh. SH - Prob. 7.3.8EPCh. SH - Prob. 7.3.9EPCh. SH - Prob. 7.3.10EPCh. SH - Prob. 7.3.11EPCh. SH - Prob. 7.3.12EPCh. SH - Prob. 7.3.13EPCh. SH - Prob. 7.3.14EPCh. SH - Prob. 7.4.1EPCh. SH - Prob. 7.4.2EPCh. SH - Prob. 7.4.3EPCh. SH - Prob. 7.4.4EPCh. SH - Prob. 7.4.5EPCh. SH - Prob. 7.4.6EPCh. SH - Prob. 7.4.7EPCh. SH - Prob. 7.4.8EPCh. SH - Prob. 7.4.9EPCh. SH - Prob. 7.4.10EPCh. SH - Prob. 7.4.11EPCh. SH - Prob. 7.4.12EPCh. SH - Prob. 7.4.13EPCh. SH - Prob. 7.4.14EPCh. SH - Prob. 7.5.1EPCh. SH - Prob. 7.5.2EPCh. SH - Prob. 7.5.3EPCh. SH - Prob. 7.5.4EPCh. SH - Prob. 7.5.5EPCh. SH - Prob. 7.5.6EPCh. SH - Prob. 7.5.7EPCh. SH - Prob. 7.5.8EPCh. SH - Prob. 7.5.9EPCh. SH - Prob. 7.5.10EPCh. SH - Prob. 7.5.11EPCh. SH - Prob. 7.5.12EPCh. SH - Prob. 7.5.13EPCh. SH - Prob. 7.5.14EPCh. SH - Prob. 7.5.15EPCh. SH - Prob. 7.5.16EPCh. SH - Prob. 7.6.1EPCh. SH - Prob. 7.6.2EPCh. SH - Prob. 7.6.3EPCh. SH - Prob. 7.6.4EPCh. SH - Prob. 7.6.5EPCh. SH - Prob. 7.6.6EPCh. SH - Prob. 7.6.7EPCh. SH - Prob. 7.6.8EPCh. SH - Prob. 7.6.9EPCh. SH - Prob. 7.6.10EPCh. SH - Prob. 7.6.11EPCh. SH - Prob. 7.7.1EPCh. SH - Prob. 7.7.2EPCh. SH - Prob. 7.7.3EPCh. SH - Prob. 7.7.4EPCh. SH - Prob. 7.7.5EPCh. SH - Prob. 7.7.6EPCh. SH - Prob. 7.7.7EPCh. SH - Prob. 7.7.8EPCh. SH - Prob. 7.7.9EPCh. SH - Prob. 7.7.10EPCh. SH - Prob. 7.7.11EPCh. SH - Prob. 7.7.12EPCh. SH - Prob. 7.7.13EPCh. SH - Prob. 7.7.14EPCh. SH - Prob. 7.7.15EPCh. SH - Prob. 7.8.1EPCh. SH - Prob. 7.8.2EPCh. SH - Prob. 7.8.3EPCh. SH - Prob. 8.1.1EPCh. SH - Prob. 8.1.2EPCh. SH - Prob. 8.1.3EPCh. SH - Prob. 8.1.4EPCh. SH - Prob. 8.1.5EPCh. SH - Prob. 8.1.6EPCh. SH - Prob. 8.1.7EPCh. SH - Prob. 8.1.8EPCh. SH - Prob. 8.1.9EPCh. SH - Prob. 8.1.10EPCh. SH - Prob. 8.1.11EPCh. SH - Prob. 8.1.12EPCh. SH - Prob. 8.2.1EPCh. SH - Prob. 8.2.2EPCh. SH - Prob. 8.2.3EPCh. SH - Prob. 8.2.4EPCh. SH - Prob. 8.2.5EPCh. SH - Prob. 8.2.6EPCh. SH - Prob. 8.2.7EPCh. SH - Prob. 8.2.8EPCh. SH - Prob. 8.2.9EPCh. SH - Prob. 8.2.10EPCh. SH - Prob. 8.2.11EPCh. SH - Prob. 8.2.12EPCh. SH - Prob. 8.2.13EPCh. SH - Prob. 8.2.14EPCh. SH - Prob. 8.3.1EPCh. SH - Prob. 8.3.2EPCh. SH - Prob. 8.3.3EPCh. SH - Prob. 8.3.4EPCh. SH - Prob. 8.3.5EPCh. SH - Prob. 8.3.6EPCh. SH - Prob. 8.3.7EPCh. SH - Prob. 8.3.8EPCh. SH - Prob. 8.3.9EPCh. SH - Prob. 8.3.10EPCh. SH - Prob. 8.3.11EPCh. SH - Prob. 8.3.12EPCh. SH - Prob. 8.3.13EPCh. SH - Prob. 8.3.14EPCh. SH - Prob. 8.3.15EPCh. SH - Prob. 8.3.16EPCh. SH - Prob. 8.3.17EPCh. SH - Prob. 8.3.18EPCh. SH - Prob. 8.4.1EPCh. SH - Prob. 8.4.2EPCh. SH - Prob. 8.4.3EPCh. SH - Prob. 8.4.4EPCh. SH - Prob. 8.5.1EPCh. SH - Prob. 8.5.2EPCh. SH - Prob. 8.5.3EPCh. SH - Prob. 8.6.1EPCh. SH - Prob. 8.6.2EPCh. SH - Prob. 8.6.3EPCh. SH - Prob. 8.6.4EPCh. SH - Prob. 8.6.5EPCh. SH - Prob. 8.6.6EPCh. SH - Prob. 8.7.1EPCh. SH - Prob. 8.7.2EPCh. SH - Prob. 8.7.3EPCh. SH - Prob. 8.7.4EPCh. SH - Prob. 8.7.5EPCh. SH - Prob. 8.7.6EPCh. SH - Prob. 8.7.7EPCh. SH - Prob. 8.7.8EPCh. SH - Prob. 8.7.9EPCh. SH - Prob. 8.7.10EPCh. SH - Prob. 8.7.11EPCh. SH - Prob. 8.7.12EPCh. SH - Prob. 8.8.1EPCh. SH - Prob. 8.8.2EPCh. SH - Prob. 8.8.3EPCh. SH - Prob. 8.8.4EPCh. SH - Prob. 8.8.5EPCh. SH - Prob. 8.8.6EPCh. SH - Prob. 8.8.7EPCh. SH - Prob. 8.8.8EPCh. SH - Prob. 8.8.9EPCh. SH - Prob. 8.8.10EPCh. SH - Prob. 8.9.1EPCh. SH - Prob. 8.9.2EPCh. SH - Prob. 8.9.3EPCh. SH - Prob. 8.10.1EPCh. SH - Prob. 8.10.2EPCh. SH - Prob. 8.10.3EPCh. SH - Prob. 8.10.4EPCh. SH - Prob. 8.10.5EPCh. SH - Prob. 8.10.6EPCh. SH - Prob. 8.10.7EPCh. SH - Prob. 8.10.8EPCh. SH - Prob. 9.1.1EPCh. SH - Prob. 9.1.2EPCh. SH - Prob. 9.1.3EPCh. SH - Prob. 9.1.4EPCh. SH - Prob. 9.1.5EPCh. SH - Prob. 9.1.6EPCh. SH - Prob. 9.1.7EPCh. SH - Prob. 9.1.8EPCh. SH - Prob. 9.1.9EPCh. SH - Prob. 9.1.10EPCh. SH - Prob. 9.1.11EPCh. SH - Prob. 9.1.12EPCh. SH - Prob. 9.1.13EPCh. SH - Prob. 9.1.14EPCh. SH - Prob. 9.1.15EPCh. SH - Prob. 9.1.16EPCh. SH - Prob. 9.1.17EPCh. SH - Prob. 9.1.18EPCh. SH - Prob. 9.1.19EPCh. SH - Prob. 9.1.20EPCh. SH - Prob. 9.1.21EPCh. SH - Prob. 9.1.22EPCh. SH - Prob. 9.1.23EPCh. SH - Prob. 9.1.24EPCh. SH - Prob. 9.2.1EPCh. SH - Prob. 9.2.2EPCh. SH - Prob. 9.2.3EPCh. SH - Prob. 9.2.4EPCh. SH - Prob. 9.2.5EPCh. SH - Prob. 9.2.6EPCh. SH - Prob. 9.2.7EPCh. SH - Prob. 9.2.8EPCh. SH - Prob. 9.2.9EPCh. SH - Prob. 9.2.10EPCh. SH - Prob. 9.2.11EPCh. SH - Prob. 9.2.12EPCh. SH - Prob. 9.2.13EPCh. SH - Prob. 9.2.14EPCh. SH - Prob. 9.2.15EPCh. SH - Prob. 9.2.16EPCh. SH - Prob. 9.2.17EPCh. SH - Prob. 9.2.18EPCh. SH - Prob. 9.2.19EPCh. SH - Prob. 9.2.20EPCh. SH - Prob. 9.2.21EPCh. SH - Prob. 9.2.22EPCh. SH - Prob. 9.2.23EPCh. SH - Prob. 9.2.24EPCh. SH - Prob. 9.2.25EPCh. SH - Prob. 9.2.26EPCh. SH - Prob. 9.2.27EPCh. SH - Prob. 9.2.28EPCh. SH - Prob. 9.2.29EPCh. SH - Prob. 9.3.1EPCh. SH - Prob. 9.3.2EPCh. SH - Prob. 9.3.3EPCh. SH - Prob. 9.3.4EPCh. SH - Prob. 9.3.5EPCh. SH - Prob. 9.3.6EPCh. SH - Prob. 9.3.7EPCh. SH - Prob. 9.3.8EPCh. SH - Prob. 9.3.9EPCh. SH - Prob. 9.3.10EPCh. SH - Prob. 9.3.11EPCh. SH - Prob. 9.3.12EPCh. SH - Prob. 9.3.13EPCh. SH - Prob. 9.3.14EPCh. SH - Prob. 9.3.15EPCh. SH - Prob. 9.4.1EPCh. SH - Prob. 9.4.2EPCh. SH - Prob. 9.4.3EPCh. SH - Prob. 9.4.4EPCh. SH - Prob. 9.4.5EPCh. SH - Prob. 9.4.6EPCh. SH - Prob. 9.4.7EPCh. SH - Prob. 9.4.8EPCh. SH - Prob. 9.4.9EPCh. SH - Prob. 9.4.10EPCh. SH - Prob. 9.4.11EPCh. SH - Prob. 9.4.12EPCh. SH - Prob. 9.4.13EPCh. SH - Prob. 9.4.14EPCh. SH - Prob. 9.4.15EPCh. SH - Prob. 9.4.16EPCh. SH - Prob. 9.4.17EPCh. SH - Prob. 9.4.18EPCh. SH - Prob. 9.4.19EPCh. SH - Prob. 9.4.20EPCh. SH - Prob. 9.4.21EPCh. SH - Prob. 9.4.22EPCh. SH - Prob. 9.4.23EPCh. SH - Prob. 9.4.24EPCh. SH - Prob. 9.4.25EPCh. SH - Prob. 9.4.26EPCh. SH - Prob. 9.5.1EPCh. SH - Prob. 9.5.2EPCh. SH - Prob. 9.5.3EPCh. SH - Prob. 9.5.4EPCh. SH - Prob. 9.5.5EPCh. SH - Prob. 9.5.6EPCh. SH - Prob. 9.5.7EPCh. SH - Prob. 9.5.8EPCh. SH - Prob. 9.5.9EPCh. SH - Prob. 9.5.10EPCh. SH - Prob. 9.5.11EPCh. SH - Prob. 9.5.12EPCh. SH - Prob. 9.5.13EPCh. SH - Prob. 9.5.14EPCh. SH - Prob. 9.5.15EPCh. SH - Prob. 9.5.16EPCh. SH - Prob. 9.5.17EPCh. SH - Prob. 9.5.18EPCh. SH - Prob. 9.5.19EPCh. SH - Prob. 9.5.20EPCh. SH - Prob. 9.6.1EPCh. SH - Prob. 9.6.2EPCh. SH - Prob. 9.6.3EPCh. SH - Prob. 9.6.4EPCh. SH - Prob. 9.6.5EPCh. SH - Prob. 9.6.6EPCh. SH - Prob. 9.6.7EPCh. SH - Prob. 9.6.8EPCh. SH - Prob. 9.6.9EPCh. SH - Prob. 9.6.10EPCh. SH - Prob. 9.6.11EPCh. SH - Prob. 9.6.12EPCh. SH - Prob. 9.6.13EPCh. SH - Prob. 9.6.14EPCh. SH - Prob. 9.6.15EPCh. SH - Prob. 9.6.16EPCh. SH - Prob. 9.6.17EPCh. SH - Prob. 9.7.1EPCh. SH - Prob. 9.7.2EPCh. SH - Prob. 9.7.3EPCh. SH - Prob. 9.7.4EPCh. SH - Prob. 9.7.5EPCh. SH - Prob. 9.7.6EPCh. SH - Prob. 9.7.7EPCh. SH - Prob. 9.7.8EPCh. SH - Prob. 9.7.9EPCh. SH - Prob. 9.7.10EPCh. SH - Prob. 9.7.11EPCh. SH - Prob. 9.8.1EPCh. SH - Prob. 9.8.2EPCh. SH - Prob. 9.8.3EPCh. SH - Prob. 9.8.4EPCh. SH - Prob. 9.8.5EPCh. SH - Prob. 9.8.6EPCh. SH - Prob. 9.8.7EPCh. SH - Prob. 9.8.8EPCh. SH - Prob. 9.8.9EPCh. SH - Prob. 9.8.10EPCh. SH - Prob. 9.8.11EPCh. SH - Prob. 9.8.12EPCh. SH - Prob. 9.8.13EPCh. SH - Prob. 9.8.14EPCh. SH - Prob. 9.8.15EPCh. SH - Prob. 9.9.1EPCh. SH - Prob. 9.9.2EPCh. SH - Prob. 9.9.3EPCh. SH - Prob. 9.9.4EPCh. SH - Prob. 9.9.5EPCh. SH - Prob. 9.9.6EPCh. SH - Prob. 9.9.7EPCh. SH - Prob. 9.9.8EPCh. SH - Prob. 9.9.9EPCh. SH - Prob. 9.9.10EPCh. SH - Prob. 9.9.11EPCh. SH - Prob. 9.9.12EPCh. SH - Prob. 9.9.13EPCh. SH - Prob. 9.9.14EPCh. SH - Prob. 9.9.15EPCh. SH - Prob. 10.1.1EPCh. SH - Prob. 10.1.2EPCh. SH - Prob. 10.1.3EPCh. SH - Prob. 10.1.4EPCh. SH - Prob. 10.1.5EPCh. SH - Prob. 10.1.6EPCh. SH - Prob. 10.1.7EPCh. SH - Prob. 10.1.8EPCh. SH - Prob. 10.1.9EPCh. SH - Prob. 10.1.10EPCh. SH - Prob. 10.1.11EPCh. SH - Prob. 10.1.12EPCh. SH - Prob. 10.1.13EPCh. SH - Prob. 10.1.14EPCh. SH - Prob. 10.1.15EPCh. SH - Prob. 10.1.16EPCh. SH - Prob. 10.1.17EPCh. SH - Prob. 10.1.18EPCh. SH - Prob. 10.1.19EPCh. SH - Prob. 10.1.20EPCh. SH - Prob. 10.1.21EPCh. SH - Prob. 10.1.22EPCh. SH - Prob. 10.1.23EPCh. SH - Prob. 10.1.24EPCh. SH - Prob. 10.1.25EPCh. SH - Prob. 10.1.26EPCh. SH - Prob. 10.1.27EPCh. SH - Prob. 10.2.1EPCh. SH - Prob. 10.2.2EPCh. SH - Prob. 10.2.3EPCh. SH - Prob. 10.2.4EPCh. SH - Prob. 10.2.5EPCh. SH - Prob. 10.2.6EPCh. SH - Prob. 10.2.7EPCh. SH - Prob. 10.2.8EPCh. SH - Prob. 10.2.9EPCh. SH - Prob. 10.2.10EPCh. SH - Prob. 10.2.11EPCh. SH - Prob. 10.2.12EPCh. SH - Prob. 10.2.13EPCh. SH - Prob. 10.2.14EPCh. SH - Prob. 10.2.15EPCh. SH - Prob. 10.2.16EPCh. SH - Prob. 10.2.17EPCh. SH - Prob. 10.2.18EPCh. SH - Prob. 10.2.19EPCh. SH - Prob. 10.2.20EPCh. SH - Prob. 10.2.21EPCh. SH - Prob. 10.2.22EPCh. SH - Prob. 10.3.1EPCh. SH - Prob. 10.3.2EPCh. SH - Prob. 10.3.3EPCh. SH - Prob. 10.3.4EPCh. SH - Prob. 10.3.5EPCh. SH - Prob. 10.3.6EPCh. SH - Prob. 10.3.7EPCh. SH - Prob. 10.3.8EPCh. SH - Prob. 10.3.9EPCh. SH - Prob. 10.4.1EPCh. SH - Prob. 10.4.2EPCh. SH - Prob. 10.4.3EPCh. SH - Prob. 10.4.4EPCh. SH - Prob. 10.4.5EPCh. SH - Prob. 10.4.6EPCh. SH - Prob. 10.4.7EPCh. SH - Prob. 10.4.8EPCh. SH - Prob. 10.4.9EPCh. SH - Prob. 10.5.1EPCh. SH - Prob. 10.5.2EPCh. SH - Prob. 10.5.3EPCh. SH - Prob. 10.5.4EPCh. SH - Prob. 10.5.5EPCh. SH - Prob. 10.5.6EPCh. SH - Prob. 10.5.7EPCh. SH - Prob. 10.5.8EPCh. SH - Prob. 10.5.9EPCh. SH - Prob. 10.5.10EPCh. SH - Prob. 10.6.1EPCh. SH - Prob. 10.6.2EPCh. SH - Prob. 10.6.3EPCh. SH - Prob. 10.6.5EPCh. SH - Prob. 10.6.6EPCh. SH - Prob. 11.1.1EPCh. SH - Prob. 11.1.2EPCh. SH - Prob. 11.1.3EPCh. SH - Prob. 11.1.4EPCh. SH - Prob. 11.1.5EPCh. SH - Prob. 11.1.6EPCh. SH - Prob. 11.1.7EPCh. SH - Prob. 11.1.8EPCh. SH - Prob. 11.1.9EPCh. SH - Prob. 11.2.1EPCh. SH - Prob. 11.2.2EPCh. SH - Prob. 11.2.3EPCh. SH - Prob. 11.2.4EPCh. SH - Prob. 11.3.1EPCh. SH - Prob. 11.3.2EPCh. SH - Prob. 11.3.3EPCh. SH - Prob. 11.3.4EPCh. SH - Prob. 11.4.1EPCh. SH - Prob. 11.4.2EPCh. SH - Prob. 11.4.3EPCh. SH - Prob. 11.4.4EPCh. SH - Prob. 11.5.1EPCh. SH - Prob. 11.5.2EPCh. SH - Prob. 11.5.3EPCh. SH - Prob. 11.5.4EPCh. SH - Prob. 11.5.5EPCh. SH - Prob. 11.5.6EPCh. SH - Prob. 11.5.7EPCh. SH - Prob. 11.5.8EPCh. SH - Prob. 11.6.1EPCh. SH - Prob. 11.6.2EPCh. SH - Prob. 11.6.3EPCh. SH - Prob. 11.6.4EPCh. SH - Prob. 11.6.5EPCh. SH - Prob. 11.6.6EPCh. SH - Prob. 11.7.1EPCh. SH - Prob. 11.7.2EPCh. SH - Prob. 11.7.3EPCh. SH - Prob. 11.7.4EPCh. SH - Prob. 11.7.5EPCh. SH - Prob. 11.8.1EPCh. SH - Prob. 11.8.2EPCh. SH - Prob. 11.8.3EPCh. SH - Prob. 11.8.4EPCh. SH - Prob. 11.8.5EPCh. SH - Prob. 11.9.1EPCh. SH - Prob. 11.9.2EPCh. SH - Prob. 11.9.3EPCh. SH - Prob. 11.9.4EPCh. SH - Prob. 12.1.1EPCh. SH - Prob. 12.1.2EPCh. SH - Prob. 12.1.3EPCh. SH - Prob. 12.1.4EPCh. SH - Prob. 12.1.5EPCh. SH - Prob. 12.2.1EPCh. SH - Prob. 12.2.2EPCh. SH - Prob. 12.2.3EPCh. SH - Prob. 12.2.4EPCh. SH - Prob. 12.2.5EPCh. SH - Prob. 12.3.1EPCh. SH - Prob. 12.3.2EPCh. SH - Prob. 12.3.3EPCh. SH - Prob. 12.3.4EPCh. SH - Prob. 12.3.5EPCh. SH - Prob. 12.3.6EPCh. SH - Prob. 12.3.7EPCh. SH - Prob. 12.4.1EPCh. SH - Prob. 12.4.2EPCh. SH - Prob. 12.4.3EPCh. SH - Prob. 12.4.4EPCh. SH - Prob. 12.4.5EPCh. SH - Prob. 12.4.6EPCh. SH - Prob. 12.4.7EPCh. SH - Prob. 12.4.8EPCh. SH - Prob. 12.5.1EPCh. SH - Prob. 12.5.2EPCh. SH - Prob. 12.5.3EPCh. SH - Prob. 12.5.4EPCh. SH - Prob. 12.5.5EPCh. SH - Prob. 12.5.6EPCh. SH - Prob. 12.6.1EPCh. SH - Prob. 12.6.2EPCh. SH - Prob. 12.6.3EPCh. SH - Prob. 12.6.4EPCh. SH - Prob. 12.6.5EPCh. SH - Prob. 12.6.6EPCh. SH - Prob. 12.6.7EPCh. SH - Prob. 12.6.8EPCh. SH - Prob. 12.7.1EPCh. SH - Prob. 12.7.2EPCh. SH - Prob. 12.7.3EPCh. SH - Prob. 12.7.4EPCh. SH - Prob. 12.7.5EPCh. SH - Prob. 12.7.6EPCh. SH - Prob. 12.7.7EPCh. SH - Prob. 12.8.1EPCh. SH - Prob. 12.8.2EPCh. SH - Prob. 12.8.3EPCh. SH - Prob. 12.8.4EPCh. SH - Prob. 13.1.1EPCh. SH - Prob. 13.1.2EPCh. SH - Prob. 13.1.3EPCh. SH - Prob. 13.1.4EPCh. SH - Prob. 13.1.5EPCh. SH - Prob. 13.2.1EPCh. SH - Prob. 13.2.2EPCh. SH - Prob. 13.2.3EPCh. SH - Prob. 13.2.4EPCh. SH - Prob. 13.2.5EPCh. SH - Prob. 13.3.1EPCh. SH - Prob. 13.3.2EPCh. SH - Prob. 13.3.3EPCh. SH - Prob. 13.3.4EPCh. SH - Prob. 13.4.1EPCh. SH - Prob. 13.4.2EPCh. SH - Prob. 13.4.3EPCh. SH - Prob. 13.5.1EPCh. SH - Prob. 13.5.2EPCh. SH - Prob. 13.6.1EPCh. SH - Prob. 13.6.2EPCh. SH - Prob. 13.6.3EPCh. SH - Prob. 13.6.4EPCh. SH - Prob. 13.6.5EPCh. SH - Prob. 13.6.6EPCh. SH - Prob. 13.6.7EPCh. SH - Prob. 13.6.8EPCh. SH - Prob. 13.6.9EPCh. SH - Prob. 13.6.10EPCh. SH - Prob. 13.6.11EPCh. SH - Prob. 13.6.12EPCh. SH - Prob. 13.7.1EPCh. SH - Prob. 13.7.2EPCh. SH - Prob. 13.7.3EPCh. SH - Prob. 13.7.4EPCh. SH - Prob. 13.8.1EPCh. SH - Prob. 13.8.2EPCh. SH - Prob. 13.8.3EPCh. SH - Prob. 13.8.4EPCh. SH - Prob. 13.8.5EPCh. SH - Prob. 13.8.6EPCh. SH - Prob. 13.9.1EPCh. SH - Prob. 13.9.2EPCh. SH - Prob. 13.9.3EPCh. SH - Prob. 13.9.4EPCh. SH - Prob. 13.9.5EPCh. SH - Prob. 13.10.1EPCh. SH - Prob. 13.10.2EPCh. SH - Prob. 13.10.3EPCh. SH - Prob. 13.10.4EPCh. SH - Prob. 13.10.5EPCh. SH - Prob. 13.10.6EPCh. SH - Prob. 14.1.1EPCh. SH - Prob. 14.1.2EPCh. SH - Prob. 14.1.3EPCh. SH - Prob. 14.1.4EPCh. SH - Prob. 14.1.5EPCh. SH - Prob. 14.1.6EPCh. SH - Prob. 14.1.7EPCh. SH - Prob. 14.1.8EPCh. SH - Prob. 14.1.9EPCh. SH - Prob. 14.1.10EPCh. SH - Prob. 14.2.1EPCh. SH - Prob. 14.2.2EPCh. SH - Prob. 14.2.3EPCh. SH - Prob. 14.2.4EPCh. SH - Prob. 14.2.5EPCh. SH - Prob. 14.2.6EPCh. SH - Prob. 14.2.7EPCh. SH - Prob. 14.2.8EPCh. SH - Prob. 14.2.9EPCh. SH - Prob. 14.2.10EPCh. SH - Prob. 14.3.1EPCh. SH - Prob. 14.3.2EPCh. SH - Prob. 14.3.3EPCh. SH - Prob. 14.3.4EPCh. SH - Prob. 14.3.5EPCh. SH - Prob. 14.3.6EPCh. SH - Prob. 14.3.7EPCh. SH - Prob. 14.3.8EPCh. SH - Prob. 14.4.1EPCh. SH - Prob. 14.4.2EPCh. SH - Prob. 14.4.3EPCh. SH - Prob. 14.4.4EPCh. SH - Prob. 14.4.5EPCh. SH - Prob. 14.4.6EPCh. SH - Prob. 14.4.7EPCh. SH - Prob. 14.4.8EPCh. SH - Prob. 14.4.9EPCh. SH - Prob. 14.4.10EPCh. SH - Prob. 14.4.11EPCh. SH - Prob. 14.4.12EPCh. SH - Prob. 14.4.13EPCh. SH - Prob. 14.4.14EPCh. SH - Prob. 14.5.1EPCh. SH - Prob. 14.5.2EPCh. SH - Prob. 14.5.3EPCh. SH - Prob. 14.5.4EPCh. SH - Prob. 14.5.5EPCh. SH - Prob. 14.5.6EPCh. SH - Prob. 14.5.7EPCh. SH - Prob. 14.5.8EPCh. SH - Prob. 14.5.9EPCh. SH - Prob. 14.5.10EPCh. SH - Prob. 14.6.1EPCh. SH - Prob. 14.6.2EPCh. SH - Prob. 14.6.3EPCh. SH - Prob. 14.6.4EPCh. SH - Prob. 14.6.5EPCh. SH - Prob. 14.6.6EPCh. SH - Prob. 14.6.7EPCh. SH - Prob. 14.6.8EPCh. SH - Prob. 14.6.9EPCh. SH - Prob. 14.6.10EPCh. SH - Prob. 14.6.11EPCh. SH - Prob. 14.6.12EPCh. SH - Prob. 14.7.1EPCh. SH - Prob. 14.7.2EPCh. SH - Prob. 14.7.3EPCh. SH - Prob. 14.7.4EPCh. SH - Prob. 14.7.5EPCh. SH - Prob. 14.7.6EPCh. SH - Prob. 14.7.7EPCh. SH - Prob. 14.7.8EPCh. SH - Prob. 14.7.9EPCh. SH - Prob. 14.7.10EPCh. SH - Prob. 14.7.11EPCh. SH - Prob. 14.8.1EPCh. SH - Prob. 14.8.2EPCh. SH - Prob. 14.8.3EPCh. SH - Prob. 14.8.4EPCh. SH - Prob. 14.8.5EPCh. SH - Prob. 14.8.6EPCh. SH - Prob. 14.8.7EPCh. SH - Prob. 14.8.8EPCh. SH - Prob. 14.8.9EPCh. SH - Prob. 14.8.10EPCh. SH - Prob. 14.8.11EPCh. SH - Prob. 1.1MPSCh. SH - Prob. 1.2MPSCh. SH - Prob. 1.3MPSCh. SH - Prob. 1.4MPSCh. SH - Prob. 1.5MPSCh. SH - Prob. 1.6MPSCh. SH - Prob. 1.7MPSCh. SH - Prob. 2.1MPSCh. SH - Prob. 2.2MPSCh. SH - Prob. 2.3MPSCh. SH - Prob. 2.4MPSCh. SH - Prob. 2.5MPSCh. SH - Prob. 2.6MPSCh. SH - Prob. 2.7MPSCh. SH - Prob. 2.8MPSCh. SH - Prob. 2.9MPSCh. SH - Prob. 2.10MPSCh. SH - Prob. 2.11MPSCh. SH - Prob. 3.1MPSCh. SH - Prob. 3.2MPSCh. SH - Prob. 3.3MPSCh. SH - Prob. 3.4MPSCh. SH - Prob. 3.5MPSCh. SH - Prob. 3.6MPSCh. SH - Prob. 3.7MPSCh. SH - Prob. 3.8MPSCh. SH - Prob. 3.9MPSCh. SH - Prob. 3.10MPSCh. SH - Prob. 3.11MPSCh. SH - Prob. 3.12MPSCh. SH - Prob. 4.1MPSCh. SH - Prob. 4.2MPSCh. SH - Prob. 4.3MPSCh. SH - Prob. 4.4MPSCh. SH - Prob. 4.5MPSCh. SH - Prob. 4.6MPSCh. SH - Prob. 4.7MPSCh. SH - Prob. 4.8MPSCh. SH - Prob. 4.9MPSCh. SH - Prob. 4.10MPSCh. SH - Prob. 4.11MPSCh. SH - Prob. 5.1MPSCh. SH - Prob. 5.2MPSCh. SH - Prob. 5.3MPSCh. SH - Prob. 5.4MPSCh. SH - Prob. 5.5MPSCh. SH - Prob. 5.6MPSCh. SH - Prob. 5.7MPSCh. SH - Prob. 5.8MPSCh. SH - Prob. 5.9MPSCh. SH - Prob. 6.1MPSCh. SH - Prob. 6.2MPSCh. SH - Prob. 6.3MPSCh. SH - Prob. 6.4MPSCh. SH - Prob. 6.5MPSCh. SH - Prob. 6.6MPSCh. SH - Prob. 6.7MPSCh. SH - Prob. 6.8MPSCh. SH - Prob. 6.9MPSCh. SH - Prob. 6.10MPSCh. SH - Prob. 7.1MPSCh. SH - Prob. 7.2MPSCh. SH - Prob. 7.3MPSCh. SH - Prob. 7.4MPSCh. SH - Prob. 7.5MPSCh. SH - Prob. 7.6MPSCh. SH - Prob. 7.7MPSCh. SH - Prob. 7.8MPSCh. SH - Prob. 7.9MPSCh. SH - Prob. 7.10MPSCh. SH - Prob. 8.1MPSCh. SH - Prob. 8.2MPSCh. SH - Prob. 8.3MPSCh. SH - Prob. 8.4MPSCh. SH - Prob. 8.5MPSCh. SH - Prob. 8.6MPSCh. SH - Prob. 8.7MPSCh. SH - Prob. 8.8MPSCh. SH - Prob. 8.9MPSCh. SH - Prob. 8.10MPSCh. SH - Prob. 9.1MPSCh. SH - Prob. 9.2MPSCh. SH - Prob. 9.3MPSCh. SH - Prob. 9.4MPSCh. SH - Prob. 9.5MPSCh. SH - Prob. 9.6MPSCh. SH - Prob. 9.7MPSCh. SH - Prob. 9.8MPSCh. SH - Prob. 9.9MPSCh. SH - Prob. 9.10MPSCh. SH - Prob. 10.1MPSCh. SH - Prob. 10.2MPSCh. SH - Prob. 10.3MPSCh. SH - Prob. 10.4MPSCh. SH - Prob. 10.5MPSCh. SH - Prob. 10.6MPSCh. SH - Prob. 10.7MPSCh. SH - Prob. 10.8MPSCh. SH - Prob. 10.9MPSCh. SH - Prob. 10.10MPSCh. SH - Prob. 11.1MPSCh. SH - Prob. 11.2MPSCh. SH - Prob. 11.3MPSCh. SH - Prob. 11.4MPSCh. SH - Prob. 11.5MPSCh. SH - Prob. 11.6MPSCh. SH - Prob. 11.7MPSCh. SH - Prob. 11.8MPSCh. SH - Prob. 12.1MPSCh. SH - Prob. 12.2MPSCh. SH - Prob. 12.3MPSCh. SH - Prob. 12.4MPSCh. SH - Prob. 12.5MPSCh. SH - Prob. 12.6MPSCh. SH - Prob. 12.7MPSCh. SH - Prob. 13.1MPSCh. SH - Prob. 13.2MPSCh. SH - Prob. 13.3MPSCh. SH - Prob. 13.4MPSCh. SH - Prob. 13.5MPSCh. SH - Prob. 13.6MPSCh. SH - Prob. 13.7MPSCh. SH - Prob. 13.8MPS

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