Let A,B,C ,..., be arbitrary sets. Verify the correctness or incorrectness of each of the following statements. (a) (A n B) - C = A fl B n C. (b) ( A U B ) - C = ( A - C ) U ( B - C). (c) (A U B)C =...

Let A,B,C ,..., be arbitrary sets. Verify the correctness or incorrectness

of each of the following statements.

(a) (A n B) - C = A fl B n C.

(b) ( A U B ) - C = ( A - C ) U ( B - C).

(c) (A U B)C = (A n C) U (B Pi C).

(d) A U B = [A - (A n B)] U B.

(e) (A n B) n (A n c ) = 0.

(f) A U B U C = A U ( B - A n B ) U ( C - A n C).

(g) (A -_B) U B = A.

(h) A n B n C C A U B.

(i) (A - B) n (B - C) C A n B n c.