If A = {a, b, c, d}, why is {a, d} an element of P(A)?
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Answer and explanation
Correct answer: Because {a, d} is a subset of A
A power set P(A) contains every subset of A as one of its elements. The set {a, d} contains only a and d, and both of these elements belong to A = {a, b, c, d}. Therefore {a, d} ⊆ A, so it is an element of P(A). It is not the empty set, the universal set, or necessarily the complement of A.
Frequently asked questions
What is the correct answer to this question?
Because {a, d} is a subset of A
Why is this the correct answer?
A power set P(A) contains every subset of A as one of its elements. The set {a, d} contains only a and d, and both of these elements belong to A = {a, b, c, d}. Therefore {a, d} ⊆ A, so it is an element of P(A). It is not the empty set, the universal set, or necessarily the complement of A.
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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