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Class 10MathematicsSetsPower Set and SubsetsEasyLevel 10

If A = {x}, which of the following is the power set P(A)?

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Answer and explanation

Correct answer: {∅, {x}}

A = {x} is a singleton set, so it has exactly two subsets: the empty set ∅ and the set {x} itself. The power set is the set whose elements are these subsets, so P(A) = {∅, {x}}. Notice the different levels of braces: x is an element of A, while {x} is an element of P(A). Therefore, option C is correct.

Tags

setspower setsingleton setsubsetsPower Set and SubsetsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{∅, {x}}

Why is this the correct answer?

A = {x} is a singleton set, so it has exactly two subsets: the empty set ∅ and the set {x} itself. The power set is the set whose elements are these subsets, so P(A) = {∅, {x}}. Notice the different levels of braces: x is an element of A, while {x} is an element of P(A). Therefore, option C is correct.

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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