   Chapter 1.1, Problem 5TFE

Chapter
Section
Textbook Problem

# True or FalseLabel each of the following statements as either true or false. A ∪ A = A ∩ A for all sets A .

To determine

Whether the statement, “AA=AA for all sets A” is true or false.

Explanation

Formula Used:

If A and B are sets, the union of A and B is the set AB, given by

AB={x|xAorxB}

If A and B are sets, the intersection of A and B is the set AB, given by

AB={x|xAandxB}

Explanation:

Consider a set A

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