If A = {∅, {1}, 2}, which one is not an element of P(A)?
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Answer and explanation
Correct answer: {1, 2}
The elements of P(A) are exactly the subsets of A. The elements of A are ∅, {1}, and 2; the number 1 by itself is not an element of A. Therefore {1, 2} is not a subset of A and cannot belong to P(A). In contrast, {∅, 2}, {{1}, 2}, and ∅ contain only elements allowed by A, so they are subsets of A.
Frequently asked questions
What is the correct answer to this question?
{1, 2}
Why is this the correct answer?
The elements of P(A) are exactly the subsets of A. The elements of A are ∅, {1}, and 2; the number 1 by itself is not an element of A. Therefore {1, 2} is not a subset of A and cannot belong to P(A). In contrast, {∅, 2}, {{1}, 2}, and ∅ contain only elements allowed by A, so they are subsets of 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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