Question

SUM TO DO:
(0) Write all the subsets of the set (a, b, c, d].
(ii) Write the power set of the set A = {0, 1, (2, 3}}.
(ii) If A = {1, 3, 5, 7); B = {2, 3, 4, 5); C = {2, 4, 6, 8} ; D = {4, 5, 5}
Find a) BU (CUD) b) An (BUC)
(iv) If A = {11, 3, 5, 9), B U C = {3, 4, 6, 8} then find (A–B) U (A – C)
(v) Prove that if AUC = B, An C = o then B - C = A
P
= 4
(vii) If AU B = An B, then prove that A = B
(viii) Using set operations, find the L.C.M. of 12, 15, 20
(ix) If U B = 0, then show that A = 0 and B = 0
(x) If A = {x: [x - 11 S 1,x is Real} and B = {x : (x – 4[ < 2, x is real}, find An B.
(xi) For any three sets A, B and C; prove that, (A - C) – (B-C) = (A – B) –C
(xii) For A = {1}, then find P(P(A))
(xiii) Give an example of a Null set (in set builder form).
(xiv) State and prove De-Morgan's law.




​

Answer 1

Answer:

(0) Write all the subsets of the set (a, b, c, d].

(ii) Write the power set of the set A = {0, 1, (2, 3}}.

(ii) If A = {1, 3, 5, 7); B = {2, 3, 4, 5); C = {2, 4, 6, 8} ; D = {4, 5, 5}

Find a) BU (CUD) b) An (BUC)

(iv) If A = {11, 3, 5, 9), B U C = {3, 4, 6, 8} then find (A–B) U (A – C)

(v) Prove that if AUC = B, An C = o then B - C = A

P

= 4

(vii) If AU B = An B, then prove that A = B

(viii) Using set operations, find the L.C.M. of 12, 15, 20