If A = {1, 2}, which of the following is not an element of P(A)?
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Answer and explanation
Correct answer: 1
The power set P(A) consists of all subsets of A. For A = {1, 2}, we have P(A) = {∅, {1}, {2}, {1, 2}}. Each member of P(A) is itself a set. The object 1 is an element of A, but the singleton set {1} is an element of P(A); these are different objects. Therefore 1 is not an element of P(A).
Frequently asked questions
What is the correct answer to this question?
1
Why is this the correct answer?
The power set P(A) consists of all subsets of A. For A = {1, 2}, we have P(A) = {∅, {1}, {2}, {1, 2}}. Each member of P(A) is itself a set. The object 1 is an element of A, but the singleton set {1} is an element of P(A); these are different objects. Therefore 1 is not an element of P(A).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
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