Question

Let A and B be sets. If ∩ = ∩ = ∅ and ∪ = ∪ for some set X, show that = ​

Answer 1

Answer:

Given

Let A and B be sets

∩ = ∩ = ∅

∪ = ∪

To prove

(A∩B)'=(A∪B)'∩ (A∪B)'

LHS

= ∅(Given)

RHS

= ∅(Given)

LHS = RHS

HENCE PROVED