Q2 of 162 Page 1

For any two sets A and B, prove the following:

A ∩ (A’ ∪ B) = A ∩ B

Expanding


(A ∩ A’) ∪ (A∩ B)


(A ∩ A’) =ϕ


⇒ ϕ ∪ (A∩ B)


(A ∪ ϕ =A)


⇒ (A∩ B)


More from this chapter

All 162 →
14

Show that for any sets A and B,

A ∪ (B – A) = A ∪ B

 1

For any two sets A and B, prove that: A’ – B’ = B – A

 2

For any two sets A and B, prove the following:

A – (A – B) = A ∩ B

 2

For any two sets A and B, prove the following:

A ∩ (A ∪ B’) = ϕ