ALGEBRA 1:COMMON CORE
ALGEBRA 1:COMMON CORE
22nd Edition
ISBN: 9781647274160
Author: Larson
Publisher: CENGAGE L
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Chapter 3.8, Problem 7P

Find each union or intersection. Let A={1,3,5,7,9},B={x∣x is a positive. odd integer less than 10},C={1,2,4,7}, and D={x∣x is a negative integer between −5 and −1}.

A∩B

Expert Solution & Answer
Check Mark
To determine

To find: the set A∩B .

Answer to Problem 7P

  A∩B={1,3,5,7,9}

Explanation of Solution

Given information:

Three sets are given as

  A={1,3,5,7,9},B={x|x is a positive odd integer less than 10}C={1,2,4,7},D={x|x is a negative integer between −5 and −1}

Formula used:

For any two or more sets, union of the sets gives the elements which are in the either one of the sets and the all elements of all sets. Common elements are considered once. Union is represented by the symbol ∪ .

For any two or more sets, intersection of the sets gives the elements which are the only common elements of the sets. Intersection is represented by the symbol ∩ .

Calculation:

Consider the given sets.

  A={1,3,5,7,9}

and

Now, the set B can be written as

  B={x|x is a positive odd integer less than 10}

Now, A∩B contains common elements of A and B .

  A∩B={1,3,5,7,9}∩{1,3,5,7,9}={1,3,5,7,9}

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Chapter 3.8, Problem 6P
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Chapter 3.8, Problem 8P

Chapter 3 Solutions

ALGEBRA 1:COMMON CORE

Ch. 3.1 - Write an inequality that represents each verbal...Ch. 3.1 - Write an inequality that represents each verbal...Ch. 3.1 - Write an inequality that represents each verbal...Ch. 3.1 - Write an inequality that represents each verbal...Ch. 3.1 - Determine whether each number is a solution of the...Ch. 3.1 - Determine whether each number is a solution of the...Ch. 3.1 - Determine whether each number is a solution of the...Ch. 3.1 - Determine whether each number is a solution of the...Ch. 3.1 - Graph each inequality. y2Ch. 3.1 - Graph each inequality. t4
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