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Show that if A is a subset of B. then the power set of, A

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 2E Chapter 2.SE

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 2E

Show that if A is a subset of B. then the power set of, A is a subset of the power set of B.

 

Step-by-Step Solution:

Step 1:

Let A and B are the two sets and P(A) and P(B) are the two power sets of A and B respectively.

We have to to prove that if A is subset of B,then the power set of A is a subset of the power set of B.

Step 2:

Definition

Power set of any set P,is the set of all subsets of P including empty set and P itself.

Step 3 of 3

Chapter 2.SE, Problem 2E is Solved
Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

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