Let A = {0, 2, 4, 6, 8, 10}. B = {0, 1, 2, 3, 4, 5, 6}.

Chapter 1, Problem 25E

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QUESTION:

Problem 25E

Let A = {0, 2, 4, 6, 8, 10}. B = {0, 1, 2, 3, 4, 5, 6}. and C = {4, 5, 6, 7, 8, 9, 10). Find

a) A ∩ B ∩ C.

b) A ∪ B ∪ C.

c) (A ∪ B) ∩ C.

d) (A ∩ B) ∪ C.

Questions & Answers

QUESTION:

Problem 25E

Let A = {0, 2, 4, 6, 8, 10}. B = {0, 1, 2, 3, 4, 5, 6}. and C = {4, 5, 6, 7, 8, 9, 10). Find

a) A ∩ B ∩ C.

b) A ∪ B ∪ C.

c) (A ∪ B) ∩ C.

d) (A ∩ B) ∪ C.

ANSWER:

SOLUTION

Step 1

Given

 B = {0, 1, 2, 3, 4, 5, 6}. And

 C = {4, 5, 6, 7, 8, 9, 10).

The intersection of 2 sets contains only the common elements of both the sets.

The Union of 2 sets contains all the elements of both sets.

We have to find the following

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