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

## Problem 3E Chapter 2.SE

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition

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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?

Step-by-Step Solution:

Step 1</p>

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.

Step 2</p>

Therefore let

Since

Therefore for   we got  .

Step 3 of 3

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