Question

Use the properties of sets to prove for all the sets of A and B that A - (A intersection B ) = A-B

Answer 1

Answer:

A-(intersection of A&B)

=Elements of A- elements of A that are also in B

=elements of A-elements of B

=A-B

Answer 2

Step-by-step explanation:

    A – (A ∩ B) = A ∩ (A ∩ B)′   (since A – B = A ∩ B′)

    = A ∩ (A′ ∪ B′)  (by De Morgan’s law)

    = (A ∩ A′) ∪ (A ∩ B′)   (distributive law)

    = φ ∪ (A ∩ B′)

    = A ∩ B′ = A – B

hence proved.