Let A = {1,2,4,5}, B = {2,3,5,6} C = {4,5,6,7}. Verify the following identities :
(i)A∪(B∩C)=(A∪B)∩(A∪C)
(ii) A∩(B∪C)=(A∩B)∪(A∩C)
(iii) A∩(B−C)=(A∩B)−(A∩C)
(iv) A−(B∪C)=(A−B)∩(A−C)
(v) A−(B∩C)=(A−B)∪(A−C)
(vi) A∩(BΔC)=(A∩B)Δ(A∩C)
Let A = {1, 2, 3, 4} and R = {(a, b) : aϵA,bϵA, a divides b} Write R explicity.