Please do not copy from other chegg solutions as they do not fulfill the requirements of question.

Use membership tables.

4. (18pts) Let A,B and C be sets. Determine whether or not the following are valid. Justify your answer by using either set identities or membership tables. You can also use a counterexample to show that two sets are not equivalent. Notice, that the difference between two sets A and B can be denoted A\B or AB. (a) A(BC)=(AC)B (b) (AB)(BA)=(AB) (c) (AB)(BA)=(AB)