Show that if A and B are sets

Chapter 2, Problem 18E

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QUESTION:

Show that if \(A\) and \(B\) are sets \(|A|=|B|\), then \(|\mathcal{P}(A)|=\) \)|\mathcal{P}(B)|\).

Equation Transcription:

 

Text Transcription:

A  

B  

|A| = |B|  

|P(A)| = |P(B)|

Questions & Answers

QUESTION:

Show that if \(A\) and \(B\) are sets \(|A|=|B|\), then \(|\mathcal{P}(A)|=\) \)|\mathcal{P}(B)|\).

Equation Transcription:

 

Text Transcription:

A  

B  

|A| = |B|  

|P(A)| = |P(B)|

ANSWER:

Solution:

Step 1:

In the given problem we have to prove that  if A and B sets, then

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