Explanation Given: Here each point and letter in the figure represents a child on a playground. The arrow going from I to J denotes that I is the sister of J . Calculation: From the above figure, it is observed that the arrows from I to J denotes that I is a sister of J and J is a sister of I. Thus, I and J are definitely girls. The arrows from A to D denotes that A is a sister of D. Thus, A and D are girls. The arrows from D to C denotes that C is a sister of D To determine b. To write: All the set of ordered pairs by using the diagram. To determine c. To find: The ordered pairs in part (b) are function or not.

A Problem Solving Approach to Mathematics for Elementary School Teachers, Books a la Carte Edition plus NEW MyLab Math with Pearson eText - Access Card Package (12th Edition)

12th Edition

ISBN: 9780133865479

Author: Rick Billstein, Shlomo Libeskind, Johnny Lott

Publisher: PEARSON

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.

Question

Chapter 8.4B, Problem 25A

To determine

a.

To find:

The name of the girls and boys.

To determine

b.

To write:

All the set of ordered pairs by using the diagram.

To determine

c.

To find:

The ordered pairs in part (b) are function or not.

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Chapter 8.4B, Problem 24A

Chapter 8.4B, Problem 26A

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Chapter 8 Solutions

A Problem Solving Approach to Mathematics for Elementary School Teachers, Books a la Carte Edition plus NEW MyLab Math with Pearson eText - Access Card Package (12th Edition)

Ch. 8.1 - Use the fact that each prime in the prime...Ch. 8.1 - Find the value of 3 on a calculator. Explain why...Ch. 8.1 - Is it true that a+b=a+b for all a and b? If not,...Ch. 8.1 - The number 227 can be written as an infinite...Ch. 8.1 - a. Use the fact that if a prime p appears in the...Ch. 8.1 - Without using a calculator, order the following....Ch. 8.1 - a. To prove that 2335 a student wrote the...Ch. 8.1 - The sequence 1,1.01,1.001,1.0001,... is an...Ch. 8.1 - Let each number of a group choose a number between...Ch. 8.1 - Prob. 11MC

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a. To find: The name of the girls and boys.

Solution Summary: The author explains that B and F are boys, A, C, D, I, J and G are girls.

Concept explainers

a. To find: The name of the girls and boys.

b. To write: All the set of ordered pairs by using the diagram.

c. To find: The ordered pairs in part (b) are function or not.

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Chapter 8 Solutions

a.

To find:

The name of the girls and boys.

b.

To write:

All the set of ordered pairs by using the diagram.

c.

To find:

The ordered pairs in part (b) are function or not.