Verify the following relations for any sets A,B,C,.... (a) A U B = A n B. _ (b) A - B = A - (A n B) = A n B = (A U B) - B. (c) (A n B) U (A - B) = A. (d) (A n B) n (A — B) = 0. (e) ( A U B ) - ( A n B...

Verify the following relations for any sets A,B,C,....

(a) A U B = A n B. _

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

(c) (A n B) U (A - B) = A.

(d) (A n B) n (A — B) = 0.

(e) ( A U B ) - ( A n B ) = ( A - B ) U ( B - A).

(f) a n (B - c ) = (A n B) - (A n c).

(g) (A u B) n c = c - c n (A u B).

(h) (A n B) n (B n c) = a n b n c.