Question

If μ = {2, 3, 4, 5}, A = {2, 4} and B = {3, 4}, then verify the following laws.

i) A – B = A∩B' 2) (A∪B)' = A' ∩ B'

Answer 1

Answer:

A-B

{2,4}-{3,4}

{2,3}

A' =U-A

={3,5}

B'=U-B

={2,5}

A or B' = A'-B'

= {3,5}-{2,5}

={2,3}

(A and B) = {2,4,3}

(A and B)' = U - A and B

={5}

A'= {3,5}. B'={2,5}

A' or B' = {5}