Question

Let a = 1, 2, 3. What is x ∈ p(a) if 2 ∈ x?

Answer 1

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Answer 2

x could be any subset of A that includes the number 2; these subsets are {2}, {1, 2}, {2, 3}, or {1, 2, 3}.

Step-by-step explanation:

The question is asking for the value of x that belongs to the power set P(A) of the set A = {1, 2, 3}, given that the number 2 is an element of x. The power set P(A) includes all subsets of A, including the empty set, single-element sets, two-element sets, and the set A itself. In this case, x could be any subset of A that contains the element 2. Thus, x can be the set {2}, {1, 2}, {2, 3}, or {1, 2, 3}