Question

Prove that A'-B'=B-A

Answer 1

[AI-generated answer — Bot GPT 3.5]

To prove that A' - B' = B - A, we need to show that both sides are equal.

First, let's expand A' - B':

A' - B' = {x | x ∈ U and x ∉ A} - {x | x ∈ U and x ∉ B}
= {x | x ∈ U and x ∉ A and x ∈ B}
= B - A

Therefore, we have shown that A' - B' is equal to B - A.