Is it true that for any sets A and B, P (A) ∪ P (B) = P (A ∪ B)? Justify your answer.

Question

Philoid · Accepted Answer

Let us assume, A = {0, 1}

And, B = {1, 2}

∴

Now, we have:

∴

Also,

∴

Hence, the given statement is false