Consider the following statement: A is a subset of B. Therefore A is a subset of P(B). This statement is incorrect as written. Assuming the first sentence is true, what is incorrect about the second sentence?

Jerold

Jerold

Answered question

2021-08-11

Consider the following statement:
” A is a subset of B. Therefore A is a subset of P(B).”
This statement is incorrect as written. Assuming the first sentence is true, what is incorrect about the second sentence? State the second sentence correctly.

Answer & Explanation

Khribechy

Khribechy

Skilled2021-08-12Added 100 answers

Since given statement is :
" A is subset of B. Therefore A is subset of P(B)"
Concept:
First we have to understand what is the means of P(B).
P(B) = power set of B
= Set of all subset of B
Let us understand by an example
If
B= {1,2}
Then
P(B)= { {}, {1},{2}, {1,2}}
Since First statement is
A is subset of B.
It implies that
Power set of A is subset of power set of B
It implies that
" P(A) is subset of P(B).
So instead of
" A is subset of P(B)".
Correct statement is.
"P(A) is subset of P(B)."
So combined statement is:
"A is subset of B.Therefore P(A) is subset of P(B)."

Do you have a similar question?

Recalculate according to your conditions!

New Questions in Discrete math

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?