Can someone provide explainations and answers ? Pls

1. True or false (a) For all sets A, B, it is true that AnBCAUB (b) For all sets A, B, it is true that AUBCAnB (c) For all sets A, B, C, if A B then AUC BUC (d) For all sets A, B, C, if AC B then AnCCBnC (e) For all sets A, B, C, it is true that An BnC (f) For all A, B, it is true that An B B (g) For all sets A, B, C, it is true that A \ (B U C) = (AYB) u (A \ C) 2. Consider the relation S S of all ordered pairs of elements of S, where S is non-empty. Which of the following properties does this relation have: a) Reflexive b) Irreflexive c) Symmetric d) Antisymmetric e) Transitive f) Partial order relation 8) Equivalence relation