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Class 10MathematicsSetsPower Set and SubsetsMediumLevel 10

If A = {1,2}, which statement about {1} ⊆ P(A) is true?

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Answer and explanation

Correct answer: False because 1 ∉ P(A)

First, P(A) = {∅, {1}, {2}, {1,2}}. The statement {1} ⊆ P(A) means that every element of the set {1}, namely the object 1, must be an element of P(A). However, P(A) contains sets such as {1}, not the number 1 itself. Thus 1 ∉ P(A), so the statement is false. Option B is correct.

Tags

setsmembershipsubsetpower setPower Set and SubsetsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

False because 1 ∉ P(A)

Why is this the correct answer?

First, P(A) = {∅, {1}, {2}, {1,2}}. The statement {1} ⊆ P(A) means that every element of the set {1}, namely the object 1, must be an element of P(A). However, P(A) contains sets such as {1}, not the number 1 itself. Thus 1 ∉ P(A), so the statement is false. Option B 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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