If A = {2, 4, 8}, which statement about {4, 8} is correct?
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Answer and explanation
Correct answer: {4, 8} ⊆ A and {4, 8} ∈ P(A)
Both 4 and 8 are elements of A = {2,4,8}; therefore every element of {4,8} belongs to A, so {4,8} ⊆ A. By definition, every subset of A is an element of P(A), hence {4,8} ∈ P(A). The set {4,8} is not itself an element of A because A contains numbers, not this two-element set.
Frequently asked questions
What is the correct answer to this question?
{4, 8} ⊆ A and {4, 8} ∈ P(A)
Why is this the correct answer?
Both 4 and 8 are elements of A = {2,4,8}; therefore every element of {4,8} belongs to A, so {4,8} ⊆ A. By definition, every subset of A is an element of P(A), hence {4,8} ∈ P(A). The set {4,8} is not itself an element of A because A contains numbers, not this two-element set.
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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