Question

prove that (A∩ B) ∪(A∩ B' ) = A

Answer 1

Answer:

( A ∩ B ) ∪ ( A ∩ B' )

= A ∩ ( B ∪ B' )                [ distributive law ]

= A ∩ Σ, where Σ is the universal set ( use whatever symbol you usually use for that )

= A