If A = {0, 1, 2}, which statement about {0, 2} is correct?
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Answer and explanation
Correct answer: {0, 2} ∈ P(A)
Both elements of the set {0,2} occur in A = {0,1,2}, so {0,2} is a subset of A, written {0,2} ⊆ A. Every subset of A is, by definition, an element of the power set P(A). Hence {0,2} ∈ P(A). It is not an element of A because the elements of A are the numbers 0, 1, and 2, not the set {0,2} itself.
Frequently asked questions
What is the correct answer to this question?
{0, 2} ∈ P(A)
Why is this the correct answer?
Both elements of the set {0,2} occur in A = {0,1,2}, so {0,2} is a subset of A, written {0,2} ⊆ A. Every subset of A is, by definition, an element of the power set P(A). Hence {0,2} ∈ P(A). It is not an element of A because the elements of A are the numbers 0, 1, and 2, not the set {0,2} itself.
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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