∀ sets A,B and C,A∪(B∩C)=(A∪B)∩C.

Answer 1

This is a false statement.

Consider the set AB^cC^c

It is in the set on the left, as it is in A, and the statement on the left is A union other sets.

It is not in the set on the right, as it is not in C, and the set on the right is a subset of the set C, as it is another set intersect C.