I have to turn in my homework tomorrow and I am really stuck on the problem that I have posted earlier and also on this one...plz help me. Thx in advance.
Let S, T1 and T2 be binary relations on a set A. Prove that we have S composite (T1 U T2) = (S composite T1) U (S composite T2) and S composite (T1 intersection T2) subset (S composite T1) intersection (S composite T2). Find an example where the inclusion in the second statement is proper.