Yes, the set {3, 4} is an element of the power set of A.

Here's why:

1. The power set of A, denoted as P(A), is the set of all subsets of A.

2. A subset is a set that contains only elements found in the original set.

3. In this case, A = {1, 2, {3, 4}}.

4. The set {3, 4} is an element of A, not a subset, because it is contained as a whole within A.

5. Therefore, {3, 4} is part of the power set P(A).

So, "{3, 4} ∈ P(A)" is a true statement.

Question

Yes, the set {3, 4} is an element of the power set of A.

Here's why:

1. The power set of A, denoted as P(A), is the set of all subsets of A.

2. A subset is a set that contains only elements found in the original set.

3. In this case, A = {1, 2, {3, 4}}.

4. The set {3, 4} is an element of A, not a subset, because it is contained as a whole within A.

5. Therefore, {3, 4} is part of the power set P(A).

So, "{3, 4} ∈ P(A)" is a true statement.

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