   Chapter P.CT, Problem 1CT Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

For Exercises 1 and 2, let A = { 1 , 2 , 3 , 4 , 5 } , B = { 2 , 4 , 6 , 8 , 10 } , a n d   C = { 2 , 3 , 5 , 7 , 11 } . Find ( A ∪ B ) ∩ C .

To determine

To find:

(AB)C.

Solution:

(AB)C={2,3,5}

Explanation

Calculation:

Given,

A={1,2,3,4,5}B={2,4,6,8,10}C={2,3,5,7,11}

AB={1,2,3,4,5}{2,4,6,8,10}

Combine all the elements of the two sets with no relation of elements.

AB={1,2,3,4,5,6,8,10}

Now, (AB)C.

(AB)C={1,2,3,4,5,6,8,10}{2,3,5,7,11}

Write only the common elements of the two sets.

(AB)C={2,3,5}

Final statement:

Therefore, for the given sets A, B, and C,

(AB)C={2,3,5}

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