If A = {2, 3}, which is the correct form of P(A)?
Answer and explanation
Correct answer: {∅, {2}, {3}, {2, 3}}
The power set is the set of all subsets, including the empty set and the original set itself. For A = {2, 3}, the subsets are ∅, {2}, {3}, and {2, 3}. Notice that 2 and 3 must appear inside braces when they are considered as singleton subsets. Therefore P(A) is option A, which correctly lists all four subsets.
Frequently asked questions
What is the correct answer to this question?
{∅, {2}, {3}, {2, 3}}
Why is this the correct answer?
The power set is the set of all subsets, including the empty set and the original set itself. For A = {2, 3}, the subsets are ∅, {2}, {3}, and {2, 3}. Notice that 2 and 3 must appear inside braces when they are considered as singleton subsets. Therefore P(A) is option A, which correctly lists all four subsets.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
