Suppose that, A and B are sets such that the power set of

Chapter 2, Problem 3E

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QUESTION:

Problem 3E

Suppose that, A and B  are sets such that the power set of A is a subset of the power set of B. Does it follow that, A is a subset of B?

 

Questions & Answers

QUESTION:

Problem 3E

Suppose that, A and B  are sets such that the power set of A is a subset of the power set of B. Does it follow that, A is a subset of B?

 

ANSWER:

SOLUTION

Step 1

It is given that

We need to show that

A power set of any set S is the set of all subsets of S,including the empty set and the set S itself.

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