Using the set identities prove that the distributivity of union over intersection?

Answer 1

That's hard because we don't know which identities you've been given.

Anyhow, here are a couple of hints that apply to a lot of set-related proofs (not necessarily this one).

It is the case that both R and S are subsets of T if and only if it is the case that the union of R and S is a subset of T.

If S is a subset of T, then so is any subset of S. And S intersect anything is a subset of S.

If S is contained in T and T is contained in S, then S equals T.

Answer 2

dear use demorgan law and commutative law for union to solve the problem. I am doing MCS , contact me if u r a student of cs.