If A = {1, 4, 9}, which of the following statements about {1, 9} is true?
Answer and explanation
Correct answer: {1, 9} ∈ 𝒫(A)
Both 1 and 9 are elements of A, so {1, 9} is a subset of A. The power set 𝒫(A) is the set of all subsets of A; therefore, {1, 9} is an element of 𝒫(A). Statement A is false because the elements of A are numbers, not the set {1, 9}. Statement D is false because {1, 9} is indeed a subset of A, and U is not defined for statement C.
Frequently asked questions
What is the correct answer to this question?
{1, 9} ∈ 𝒫(A)
Why is this the correct answer?
Both 1 and 9 are elements of A, so {1, 9} is a subset of A. The power set 𝒫(A) is the set of all subsets of A; therefore, {1, 9} is an element of 𝒫(A). Statement A is false because the elements of A are numbers, not the set {1, 9}. Statement D is false because {1, 9} is indeed a subset of A, and U is not defined for statement C.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
