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For two sets A and B, which of the following sets are equal A B, (A B) (B A), (A B) (B

Chapter 2, Problem 8

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QUESTION:

For two sets A and B, which of the following sets are equal? A B, (A B) (B A), (A B) (B A).

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QUESTION:

For two sets A and B, which of the following sets are equal? A B, (A B) (B A), (A B) (B A).

ANSWER:

Step 1 of 5

The given sets can be defined as follows:

     1.   :  it is defined as the symmetric difference between the sets  and . We can also write  .

     2.  : it is defined as the symmetric difference between the sets  and.

     3.   :  it is defined as the symmetric difference between the sets  and .

We can check whether these sets are equal or not by drawing a Venn diagram. It is a diagrammatic representation of sets, where the square represents the universal set, and the circle or ellipse represents a specific set.

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