What can you say about the setsa andb ifab = a

Chapter 1, Problem 39E

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QUESTION:

What can you say about the setsa andb ifa?b = a?

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QUESTION:

What can you say about the setsa andb ifa?b = a?

ANSWER:

Solution:Step 1We know that the symmetric difference of A and B, denoted by AB, is the set containing those elements in either A or B, but not in both A and B.Using the definition of symmetric difference we can write,Set containing elements which are either in set A or set B.Set containing elements which are neither in set A nor set B.Thus .In this problem we need to find properties about a and b if ab = a.

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