Question

State whether the following Claims are True or False and explain
why
(a) Claim: For all sets A,B and C:
(A-B)∪(B-C)=(A∪B)-(B∩C)
(b) Claim: For all sets A,B, and C:A∩((A∪B)∩(B∪C))=A∩C
(c) Claim: EE sets A,B, and C such that:
A∩((A∪B)∩(B∪C))=A∩C