If A = {1, 2, 3} and B = {x : x ⊆ A}, what does this notation refer to?
Answer and explanation
Correct answer: B is the power set of A
Here x ⊆ A means that x is any subset of A. Thus B is the collection of every subset of A, which is called the power set P(A). Since A has three elements, B contains 2^3 = 8 subsets, including ∅, the three singleton subsets, the three two-element subsets, and A itself. Therefore option A is correct.
Frequently asked questions
What is the correct answer to this question?
B is the power set of A
Why is this the correct answer?
Here x ⊆ A means that x is any subset of A. Thus B is the collection of every subset of A, which is called the power set P(A). Since A has three elements, B contains 2^3 = 8 subsets, including ∅, the three singleton subsets, the three two-element subsets, and A itself. Therefore option A is correct.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Sets.
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