1.

For any two sets A and B, show that the following statements are equivalent: A – B = ϕ

Answer»

We need to show that 2 ⇒ 3 

So assume that A–B = ϕ 

To show: A∪B = B. 

∵ A – B = ϕ 

∴ Every element of A is an element of B. 

So A ⊂ B and therefore A∪B = B 

So (2) ⇒ (3) is true.



Discussion

No Comment Found

Related InterviewSolutions