For any sets A and B, prove that: (i) A ∩ B’ = ϕ ⇒ A B (ii) A’ ∪ B’ = U ⇒ A B

Question

Philoid · Accepted Answer

(i) The Venn Diagram for the given condition is given below

As can be seen from the Venn Diagram, A is a proper subset of B

AB

(ii) Wrong question. If A is a proper subset of B then A’B’≠U