Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN: 9780079039897
Author: Carter
Publisher: McGraw Hill
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Concept explainers

Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Question
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Chapter 2.3, Problem 23PPS

(a)

To determine

Write an expression for Raul`s monthly data costs

(a)

Expert Solution
Check Mark

Answer to Problem 23PPS

Expression: 29.99+10x

Explanation of Solution

Given:

Condition given: A tablet data provider offers different plans for data usage. The plan Raul chose has a monthly fee of $29.99 per month for 5 GB of data with an additional cost of $10 for each gigabyte over 5.

Concept Used:

Let the number of extra GB Raul used is ‘ x’

Monthly fee of $29.99 per month for 5 GB of datawith an additional cost of $10 for each gigabyte over 5 GB.

Cost of extra GB used at the rate $10 per GB = 10x

Calculation:

Expression: Monthly charge + cost of extra GB used

Expression: 29.99+10x

Thus, the required expression is 29.99+10x

(b)

To determine

Find the minimum number of GB of data Raul can use per month to make unlimited plan cheaper.

(b)

Expert Solution
Check Mark

Answer to Problem 23PPS

Minimum 3GB of extra data

Explanation of Solution

Given:

Condition given: A tablet data provider offers different plans for data usage. The plan Raul chose has a monthly fee of $29.99 per month for 5 GB of data with an additional cost of $10 for each gigabyte over 5.

Concept Used:

Raul learns that his data provider is offering an unlimited data plan for $59.99 per month.

Find the minimum number of gigabytes Raul could use per month to make the unlimited plan cheaper than his current plan.

According to this condition the unlimited plan $59.99 must be cheaper than the previous plan he choose 29.99+10x

Calculation:

In words: Previous plan > unlimited plan

In inequality equation form: 29.99+10x>59.99 . Where ‘ x’ is the extra GB Raul used.

Solve the inequality: 29.99+10x>59.9929.99+10x=59.99−29.99  [ Subtract  29.99  from  both  sides ] 10x>3010x10  >  3010   [ Divide  both  sides  by  10]x>3

Minimum number of GB of data Raul can use per month to make unlimited plan cheaper is 3GB.

Thus, Raul can used 3GB of extra data to make the unlimited plan is cheaper than his regular plan .

Previous
Chapter 2.3, Problem 22PPS
Next
Chapter 2.3, Problem 24PPS

Chapter 2 Solutions

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Ch. 2.1 - Prob. 1AGPCh. 2.1 - Prob. 1BGPCh. 2.1 - Prob. 2GPCh. 2.1 - Prob. 3GPCh. 2.1 - Prob. 4AGPCh. 2.1 - Prob. 4BGPCh. 2.1 - Prob. 5GPCh. 2.1 - Prob. 1CYUCh. 2.1 - Prob. 2CYUCh. 2.1 - Prob. 3CYU
Ch. 2.1 - Prob. 4CYUCh. 2.1 - Prob. 5CYUCh. 2.1 - Prob. 6CYUCh. 2.1 - Prob. 7CYUCh. 2.1 - Prob. 8CYUCh. 2.1 - Prob. 9CYUCh. 2.1 - Prob. 10CYUCh. 2.1 - Prob. 11CYUCh. 2.1 - Prob. 12CYUCh. 2.1 - Prob. 13CYUCh. 2.1 - Prob. 14CYUCh. 2.1 - Prob. 15CYUCh. 2.1 - Prob. 16CYUCh. 2.1 - Prob. 17CYUCh. 2.1 - Prob. 18CYUCh. 2.1 - Prob. 19CYUCh. 2.1 - Prob. 20CYUCh. 2.1 - Prob. 21PPSCh. 2.1 - Prob. 22PPSCh. 2.1 - Prob. 23PPSCh. 2.1 - Prob. 24PPSCh. 2.1 - Prob. 25PPSCh. 2.1 - Prob. 26PPSCh. 2.1 - Prob. 27PPSCh. 2.1 - Prob. 28PPSCh. 2.1 - Prob. 29PPSCh. 2.1 - Prob. 30PPSCh. 2.1 - Prob. 31PPSCh. 2.1 - Prob. 32PPSCh. 2.1 - Prob. 33PPSCh. 2.1 - Prob. 34PPSCh. 2.1 - Prob. 35PPSCh. 2.1 - Prob. 36PPSCh. 2.1 - Prob. 37PPSCh. 2.1 - Prob. 38PPSCh. 2.1 - Prob. 39PPSCh. 2.1 - Prob. 40PPSCh. 2.1 - Prob. 41PPSCh. 2.1 - Prob. 42PPSCh. 2.1 - Prob. 43PPSCh. 2.1 - Prob. 44PPSCh. 2.1 - Prob. 45PPSCh. 2.1 - Prob. 46PPSCh. 2.1 - Prob. 47HPCh. 2.1 - Prob. 48HPCh. 2.1 - Prob. 49HPCh. 2.1 - Prob. 50HPCh. 2.1 - Prob. 51PFACh. 2.1 - Prob. 52PFACh. 2.1 - Prob. 53PFACh. 2.1 - Prob. 54PFACh. 2.1 - Prob. 55PFACh. 2.1 - Prob. 56PFACh. 2.2 - Prob. 1AGPCh. 2.2 - Prob. 1BGPCh. 2.2 - Prob. 2AGPCh. 2.2 - Prob. 2BGPCh. 2.2 - Prob. 3AGPCh. 2.2 - Prob. 3BGPCh. 2.2 - Prob. 4GPCh. 2.2 - Prob. 1CYUCh. 2.2 - Prob. 2CYUCh. 2.2 - Prob. 3CYUCh. 2.2 - Prob. 4CYUCh. 2.2 - Prob. 5CYUCh. 2.2 - Prob. 6CYUCh. 2.2 - Prob. 7CYUCh. 2.2 - Prob. 8CYUCh. 2.2 - Prob. 9CYUCh. 2.2 - Prob. 10CYUCh. 2.2 - Prob. 11CYUCh. 2.2 - Prob. 12CYUCh. 2.2 - Prob. 13CYUCh. 2.2 - Prob. 14CYUCh. 2.2 - Prob. 15CYUCh. 2.2 - Prob. 16CYUCh. 2.2 - Prob. 17CYUCh. 2.2 - Prob. 18PPSCh. 2.2 - Prob. 19PPSCh. 2.2 - Prob. 20PPSCh. 2.2 - Prob. 21PPSCh. 2.2 - Prob. 22PPSCh. 2.2 - Prob. 23PPSCh. 2.2 - Prob. 24PPSCh. 2.2 - Prob. 25PPSCh. 2.2 - Prob. 26PPSCh. 2.2 - Prob. 27PPSCh. 2.2 - Prob. 28PPSCh. 2.2 - Prob. 29PPSCh. 2.2 - Prob. 30PPSCh. 2.2 - Prob. 31PPSCh. 2.2 - Prob. 32PPSCh. 2.2 - Prob. 33PPSCh. 2.2 - Prob. 34PPSCh. 2.2 - Prob. 35PPSCh. 2.2 - Prob. 36PPSCh. 2.2 - Prob. 37PPSCh. 2.2 - Prob. 38PPSCh. 2.2 - Prob. 39PPSCh. 2.2 - Prob. 40PPSCh. 2.2 - Prob. 41PPSCh. 2.2 - Prob. 42PPSCh. 2.2 - Prob. 43PPSCh. 2.2 - Prob. 44PPSCh. 2.2 - Prob. 45PPSCh. 2.2 - Prob. 46PPSCh. 2.2 - Prob. 47PPSCh. 2.2 - Prob. 48PPSCh. 2.2 - Prob. 49PPSCh. 2.2 - Prob. 50PPSCh. 2.2 - Prob. 51PPSCh. 2.2 - Prob. 52PPSCh. 2.2 - Prob. 53PPSCh. 2.2 - Prob. 54PPSCh. 2.2 - Prob. 55PPSCh. 2.2 - Prob. 56PPSCh. 2.2 - Prob. 57PPSCh. 2.2 - Prob. 58PPSCh. 2.2 - Prob. 59PPSCh. 2.2 - Prob. 60PPSCh. 2.2 - Prob. 61PPSCh. 2.2 - Prob. 62PPSCh. 2.2 - Prob. 63PPSCh. 2.2 - Prob. 64PPSCh. 2.2 - Prob. 65PPSCh. 2.2 - Prob. 66PPSCh. 2.2 - Prob. 67PPSCh. 2.2 - Prob. 68PPSCh. 2.2 - Prob. 69PPSCh. 2.2 - Prob. 70PPSCh. 2.2 - Prob. 71PPSCh. 2.2 - Prob. 72HPCh. 2.2 - Prob. 73HPCh. 2.2 - Prob. 74HPCh. 2.2 - Prob. 75HPCh. 2.2 - Prob. 76HPCh. 2.2 - Prob. 77HPCh. 2.2 - Prob. 78HPCh. 2.2 - Prob. 79PFACh. 2.2 - Prob. 80PFACh. 2.2 - Prob. 81PFACh. 2.2 - Prob. 82PFACh. 2.2 - Prob. 83PFACh. 2.3 - Prob. 1AGPCh. 2.3 - Prob. 1BGPCh. 2.3 - Prob. 2AGPCh. 2.3 - Prob. 2BGPCh. 2.3 - Prob. 3GPCh. 2.3 - Prob. 1CYUCh. 2.3 - Prob. 2CYUCh. 2.3 - Prob. 3CYUCh. 2.3 - Prob. 4CYUCh. 2.3 - Prob. 5CYUCh. 2.3 - Prob. 6CYUCh. 2.3 - Prob. 7CYUCh. 2.3 - Prob. 8CYUCh. 2.3 - Prob. 9CYUCh. 2.3 - Prob. 10CYUCh. 2.3 - Prob. 11PPSCh. 2.3 - Prob. 12PPSCh. 2.3 - Prob. 13PPSCh. 2.3 - Prob. 14PPSCh. 2.3 - Prob. 15PPSCh. 2.3 - Prob. 16PPSCh. 2.3 - Prob. 17PPSCh. 2.3 - Prob. 18PPSCh. 2.3 - Prob. 19PPSCh. 2.3 - Prob. 20PPSCh. 2.3 - Prob. 21PPSCh. 2.3 - Prob. 22PPSCh. 2.3 - Prob. 23PPSCh. 2.3 - Prob. 24PPSCh. 2.3 - Prob. 25PPSCh. 2.3 - Prob. 26PPSCh. 2.3 - Prob. 27PPSCh. 2.3 - Prob. 28PPSCh. 2.3 - Prob. 29PPSCh. 2.3 - Prob. 30PPSCh. 2.3 - Prob. 31PPSCh. 2.3 - Prob. 32PPSCh. 2.3 - Prob. 33PPSCh. 2.3 - Prob. 34PPSCh. 2.3 - Prob. 35PPSCh. 2.3 - Prob. 36PPSCh. 2.3 - Prob. 37PPSCh. 2.3 - Prob. 38PPSCh. 2.3 - Prob. 39PPSCh. 2.3 - Prob. 40PPSCh. 2.3 - Prob. 41PPSCh. 2.3 - Prob. 42PPSCh. 2.3 - Prob. 43PPSCh. 2.3 - Prob. 44PPSCh. 2.3 - Prob. 45PPSCh. 2.3 - Prob. 46PPSCh. 2.3 - Prob. 47PPSCh. 2.3 - Prob. 48PPSCh. 2.3 - Prob. 49PPSCh. 2.3 - Prob. 50PPSCh. 2.3 - Prob. 51PPSCh. 2.3 - Prob. 52PPSCh. 2.3 - Prob. 53HPCh. 2.3 - Prob. 54HPCh. 2.3 - Prob. 55HPCh. 2.3 - Prob. 56HPCh. 2.3 - Prob. 57HPCh. 2.3 - Prob. 58PFACh. 2.3 - Prob. 59PFACh. 2.3 - Prob. 60PFACh. 2.3 - Prob. 61PFACh. 2.3 - Prob. 62PFACh. 2.3 - Prob. 63PFACh. 2.3 - Prob. 64PFACh. 2.4 - Prob. 1AGPCh. 2.4 - Prob. 1BGPCh. 2.4 - Prob. 1CGPCh. 2.4 - Prob. 1DGPCh. 2.4 - Prob. 2AGPCh. 2.4 - Prob. 2BGPCh. 2.4 - Prob. 3AGPCh. 2.4 - Prob. 3BGPCh. 2.4 - Prob. 4GPCh. 2.4 - Prob. 1CYUCh. 2.4 - Prob. 2CYUCh. 2.4 - Prob. 3CYUCh. 2.4 - Prob. 4CYUCh. 2.4 - Prob. 5CYUCh. 2.4 - Prob. 6CYUCh. 2.4 - Prob. 7CYUCh. 2.4 - Prob. 8CYUCh. 2.4 - Prob. 9CYUCh. 2.4 - Prob. 10PPSCh. 2.4 - Prob. 11PPSCh. 2.4 - Prob. 12PPSCh. 2.4 - Prob. 13PPSCh. 2.4 - Prob. 14PPSCh. 2.4 - Prob. 15PPSCh. 2.4 - Prob. 16PPSCh. 2.4 - Prob. 17PPSCh. 2.4 - Prob. 18PPSCh. 2.4 - Prob. 19PPSCh. 2.4 - Prob. 20PPSCh. 2.4 - Prob. 21PPSCh. 2.4 - Prob. 22PPSCh. 2.4 - Prob. 23PPSCh. 2.4 - Prob. 24PPSCh. 2.4 - Prob. 25PPSCh. 2.4 - Prob. 26PPSCh. 2.4 - Prob. 27PPSCh. 2.4 - Prob. 28PPSCh. 2.4 - Prob. 29PPSCh. 2.4 - Prob. 30PPSCh. 2.4 - Prob. 31PPSCh. 2.4 - Prob. 32PPSCh. 2.4 - Prob. 33PPSCh. 2.4 - Prob. 34PPSCh. 2.4 - Prob. 35PPSCh. 2.4 - Prob. 36PPSCh. 2.4 - Prob. 37PPSCh. 2.4 - Prob. 38PPSCh. 2.4 - Prob. 39PPSCh. 2.4 - Prob. 40PPSCh. 2.4 - Prob. 41PPSCh. 2.4 - Prob. 42HPCh. 2.4 - Prob. 43HPCh. 2.4 - Prob. 44HPCh. 2.4 - Prob. 45HPCh. 2.4 - Prob. 46HPCh. 2.4 - Prob. 47HPCh. 2.4 - Prob. 48PFACh. 2.4 - Prob. 49PFACh. 2.4 - Prob. 50PFACh. 2.4 - Prob. 51PFACh. 2.4 - Prob. 52PFACh. 2.4 - Prob. 53PFACh. 2.4 - Prob. 54PFACh. 2.4 - Prob. 55PFACh. 2.4 - Prob. 56PFACh. 2.5 - Prob. 1GPCh. 2.5 - Prob. 2AGPCh. 2.5 - Prob. 2BGPCh. 2.5 - Prob. 3GPCh. 2.5 - Prob. 4GPCh. 2.5 - Prob. 1CYUCh. 2.5 - Prob. 2CYUCh. 2.5 - Prob. 3CYUCh. 2.5 - Prob. 4CYUCh. 2.5 - Prob. 5CYUCh. 2.5 - Prob. 6CYUCh. 2.5 - Prob. 7CYUCh. 2.5 - Prob. 8CYUCh. 2.5 - Prob. 9CYUCh. 2.5 - Prob. 10CYUCh. 2.5 - Prob. 11CYUCh. 2.5 - Prob. 12CYUCh. 2.5 - Prob. 13PPSCh. 2.5 - Prob. 14PPSCh. 2.5 - Prob. 15PPSCh. 2.5 - Prob. 16PPSCh. 2.5 - Prob. 17PPSCh. 2.5 - Prob. 18PPSCh. 2.5 - Prob. 19PPSCh. 2.5 - Prob. 20PPSCh. 2.5 - Prob. 21PPSCh. 2.5 - Prob. 22PPSCh. 2.5 - Prob. 23PPSCh. 2.5 - Prob. 24PPSCh. 2.5 - Prob. 25PPSCh. 2.5 - Prob. 26PPSCh. 2.5 - Prob. 27PPSCh. 2.5 - Prob. 28PPSCh. 2.5 - Prob. 29PPSCh. 2.5 - Prob. 30PPSCh. 2.5 - Prob. 31PPSCh. 2.5 - Prob. 32PPSCh. 2.5 - Prob. 33PPSCh. 2.5 - Prob. 34PPSCh. 2.5 - Prob. 35PPSCh. 2.5 - Prob. 36PPSCh. 2.5 - Prob. 37PPSCh. 2.5 - Prob. 38PPSCh. 2.5 - Prob. 39PPSCh. 2.5 - Prob. 40PPSCh. 2.5 - Prob. 41PPSCh. 2.5 - Prob. 42PPSCh. 2.5 - Prob. 43PPSCh. 2.5 - Prob. 44PPSCh. 2.5 - Prob. 45PPSCh. 2.5 - Prob. 46PPSCh. 2.5 - Prob. 47PPSCh. 2.5 - Prob. 48PPSCh. 2.5 - Prob. 49PPSCh. 2.5 - Prob. 50PPSCh. 2.5 - Prob. 51PPSCh. 2.5 - Prob. 52PPSCh. 2.5 - Prob. 53PPSCh. 2.5 - Prob. 54PPSCh. 2.5 - Prob. 55PPSCh. 2.5 - Prob. 56HPCh. 2.5 - Prob. 57HPCh. 2.5 - Prob. 58HPCh. 2.5 - Prob. 59HPCh. 2.5 - Prob. 60HPCh. 2.5 - Prob. 61HPCh. 2.5 - Prob. 62HPCh. 2.5 - Prob. 63HPCh. 2.5 - Prob. 64HPCh. 2.5 - Prob. 65PFACh. 2.5 - Prob. 66PFACh. 2.5 - Prob. 67PFACh. 2.5 - Prob. 68PFACh. 2.5 - Prob. 69PFACh. 2.5 - Prob. 70PFACh. 2.5 - Prob. 71PFACh. 2.5 - Prob. 72PFACh. 2.5 - Prob. 73PFACh. 2.5 - Prob. 74PFACh. 2.6 - Prob. 1AGPCh. 2.6 - Prob. 1BGPCh. 2.6 - Prob. 2AGPCh. 2.6 - Prob. 2BGPCh. 2.6 - Prob. 3AGPCh. 2.6 - Prob. 3BGPCh. 2.6 - Prob. 4GPCh. 2.6 - Prob. 5GPCh. 2.6 - Prob. 1CYUCh. 2.6 - Prob. 2CYUCh. 2.6 - Prob. 3CYUCh. 2.6 - Prob. 4CYUCh. 2.6 - Prob. 5CYUCh. 2.6 - Prob. 6CYUCh. 2.6 - Prob. 7CYUCh. 2.6 - Prob. 8CYUCh. 2.6 - Prob. 9PPSCh. 2.6 - Prob. 10PPSCh. 2.6 - Prob. 11PPSCh. 2.6 - Prob. 12PPSCh. 2.6 - Prob. 13PPSCh. 2.6 - Prob. 14PPSCh. 2.6 - Prob. 15PPSCh. 2.6 - Prob. 16PPSCh. 2.6 - Prob. 17PPSCh. 2.6 - Prob. 18PPSCh. 2.6 - Prob. 19PPSCh. 2.6 - Prob. 20PPSCh. 2.6 - Prob. 21PPSCh. 2.6 - Prob. 22PPSCh. 2.6 - Prob. 23PPSCh. 2.6 - Prob. 24PPSCh. 2.6 - Prob. 25PPSCh. 2.6 - Prob. 26PPSCh. 2.6 - Prob. 27PPSCh. 2.6 - Prob. 28PPSCh. 2.6 - Prob. 29PPSCh. 2.6 - Prob. 30PPSCh. 2.6 - Prob. 31PPSCh. 2.6 - Prob. 32PPSCh. 2.6 - Prob. 33PPSCh. 2.6 - Prob. 34PPSCh. 2.6 - Prob. 35PPSCh. 2.6 - Prob. 36PPSCh. 2.6 - Prob. 37PPSCh. 2.6 - Prob. 38PPSCh. 2.6 - Prob. 39PPSCh. 2.6 - Prob. 40PPSCh. 2.6 - Prob. 41PPSCh. 2.6 - Prob. 42PPSCh. 2.6 - Prob. 43PPSCh. 2.6 - Prob. 44PPSCh. 2.6 - Prob. 45PPSCh. 2.6 - Prob. 46HPCh. 2.6 - Prob. 47HPCh. 2.6 - Prob. 48HPCh. 2.6 - Prob. 49HPCh. 2.6 - Prob. 50HPCh. 2.6 - Prob. 51PFACh. 2.6 - Prob. 52PFACh. 2.6 - Prob. 53PFACh. 2.6 - Prob. 54PFACh. 2.6 - Prob. 55PFACh. 2.6 - Prob. 56PFACh. 2.6 - Prob. 57PFACh. 2.6 - Prob. 58PFACh. 2.6 - Prob. 59PFACh. 2.6 - Prob. 60PFACh. 2.7 - Prob. 1AGPCh. 2.7 - Prob. 1BGPCh. 2.7 - Prob. 1CGPCh. 2.7 - Prob. 1DGPCh. 2.7 - Prob. 2AGPCh. 2.7 - Prob. 2BGPCh. 2.7 - Prob. 3GPCh. 2.7 - Prob. 4GPCh. 2.7 - Prob. 1CYUCh. 2.7 - Prob. 2CYUCh. 2.7 - Prob. 3CYUCh. 2.7 - Prob. 4CYUCh. 2.7 - Prob. 5CYUCh. 2.7 - Prob. 6CYUCh. 2.7 - Prob. 7CYUCh. 2.7 - Prob. 8PPSCh. 2.7 - Prob. 9PPSCh. 2.7 - Prob. 10PPSCh. 2.7 - Prob. 11PPSCh. 2.7 - Prob. 12PPSCh. 2.7 - Prob. 13PPSCh. 2.7 - Prob. 14PPSCh. 2.7 - Prob. 15PPSCh. 2.7 - Prob. 16PPSCh. 2.7 - Prob. 17PPSCh. 2.7 - Prob. 18PPSCh. 2.7 - Prob. 19PPSCh. 2.7 - Prob. 20PPSCh. 2.7 - Prob. 21PPSCh. 2.7 - Prob. 22PPSCh. 2.7 - Prob. 23PPSCh. 2.7 - Prob. 24PPSCh. 2.7 - Prob. 25PPSCh. 2.7 - Prob. 26PPSCh. 2.7 - Prob. 27PPSCh. 2.7 - Prob. 28PPSCh. 2.7 - Prob. 29PPSCh. 2.7 - Prob. 30PPSCh. 2.7 - Prob. 31PPSCh. 2.7 - Prob. 32PPSCh. 2.7 - Prob. 33PPSCh. 2.7 - Prob. 34PPSCh. 2.7 - Prob. 35HPCh. 2.7 - Prob. 36HPCh. 2.7 - Prob. 37HPCh. 2.7 - Prob. 38HPCh. 2.7 - Prob. 39HPCh. 2.7 - Prob. 40HPCh. 2.7 - Prob. 41PFACh. 2.7 - Prob. 42PFACh. 2.7 - Prob. 43PFACh. 2.7 - Prob. 44PFACh. 2.7 - Prob. 45PFACh. 2.7 - Prob. 46PFACh. 2.7 - Prob. 47PFACh. 2.7 - Prob. 48PFACh. 2.7 - Prob. 49PFACh. 2 - Prob. 1SGRCh. 2 - Prob. 2SGRCh. 2 - Prob. 3SGRCh. 2 - Prob. 4SGRCh. 2 - Prob. 5SGRCh. 2 - Prob. 6SGRCh. 2 - Prob. 7SGRCh. 2 - Prob. 8SGRCh. 2 - Prob. 9SGRCh. 2 - Prob. 10SGRCh. 2 - Prob. 11SGRCh. 2 - Prob. 12SGRCh. 2 - Prob. 13SGRCh. 2 - Prob. 14SGRCh. 2 - Prob. 15SGRCh. 2 - Prob. 16SGRCh. 2 - Prob. 17SGRCh. 2 - Prob. 18SGRCh. 2 - Prob. 19SGRCh. 2 - Prob. 20SGRCh. 2 - Prob. 21SGRCh. 2 - Prob. 22SGRCh. 2 - Prob. 23SGRCh. 2 - Prob. 24SGRCh. 2 - Prob. 25SGRCh. 2 - Prob. 26SGRCh. 2 - Prob. 27SGRCh. 2 - Prob. 28SGRCh. 2 - Prob. 29SGRCh. 2 - Prob. 30SGRCh. 2 - Prob. 31SGRCh. 2 - Prob. 32SGRCh. 2 - Prob. 33SGRCh. 2 - Prob. 34SGRCh. 2 - Prob. 35SGRCh. 2 - Prob. 36SGRCh. 2 - Prob. 37SGRCh. 2 - Prob. 38SGRCh. 2 - Prob. 39SGRCh. 2 - Prob. 40SGRCh. 2 - Prob. 41SGRCh. 2 - Prob. 42SGRCh. 2 - Prob. 43SGRCh. 2 - Prob. 44SGRCh. 2 - Prob. 45SGRCh. 2 - Prob. 46SGRCh. 2 - Prob. 47SGRCh. 2 - Prob. 48SGRCh. 2 - Prob. 49SGRCh. 2 - Prob. 50SGRCh. 2 - Prob. 51SGRCh. 2 - Prob. 52SGRCh. 2 - Prob. 53SGRCh. 2 - Prob. 54SGRCh. 2 - Prob. 55SGRCh. 2 - Prob. 56SGRCh. 2 - Prob. 57SGRCh. 2 - Prob. 58SGRCh. 2 - Prob. 59SGRCh. 2 - Prob. 60SGRCh. 2 - Prob. 61SGRCh. 2 - Prob. 62SGRCh. 2 - Prob. 63SGRCh. 2 - Prob. 64SGRCh. 2 - Prob. 65SGRCh. 2 - Prob. 66SGRCh. 2 - Prob. 67SGRCh. 2 - Prob. 68SGRCh. 2 - Prob. 69SGRCh. 2 - Prob. 70SGRCh. 2 - Prob. 71SGRCh. 2 - Prob. 72SGRCh. 2 - Prob. 73SGRCh. 2 - Prob. 74SGRCh. 2 - Prob. 75SGRCh. 2 - Prob. 76SGRCh. 2 - Prob. 77SGRCh. 2 - Prob. 78SGRCh. 2 - Prob. 79SGRCh. 2 - Prob. 1PTCh. 2 - Prob. 2PTCh. 2 - Prob. 3PTCh. 2 - Prob. 4PTCh. 2 - Prob. 5PTCh. 2 - Prob. 6PTCh. 2 - Prob. 7PTCh. 2 - Prob. 8PTCh. 2 - Prob. 9PTCh. 2 - Prob. 10PTCh. 2 - Prob. 11PTCh. 2 - Prob. 12PTCh. 2 - Prob. 13PTCh. 2 - Prob. 14PTCh. 2 - Prob. 15PTCh. 2 - Prob. 16PTCh. 2 - Prob. 17PTCh. 2 - Prob. 18PTCh. 2 - Prob. 19PTCh. 2 - Prob. 20PTCh. 2 - Prob. 21PTCh. 2 - Prob. 22PTCh. 2 - Prob. 23PTCh. 2 - Prob. 24PTCh. 2 - Prob. 25PTCh. 2 - Prob. 1PFACh. 2 - Prob. 2PFACh. 2 - Prob. 3PFACh. 2 - Prob. 4PFACh. 2 - Prob. 5PFACh. 2 - Prob. 6PFACh. 2 - Prob. 7PFACh. 2 - Prob. 8PFACh. 2 - Prob. 9PFACh. 2 - Prob. 10PFACh. 2 - Prob. 11PFACh. 2 - Prob. 12PFACh. 2 - Prob. 13PFACh. 2 - Prob. 14PFACh. 2 - Prob. 15PFA

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