Question

(a) Let A = {1,3,6,7,9}, B = {2, 7, 4, 9}, C = {1, {3},5}, and D = {{1},4}. Find the following: (i) A \ B; (ii) CX D; (iii) P(C). (b) For arbitrary sets X and Y, prove that (X \cup Y)^{c}=X^{c} \cap Y^{c}

Fig: 1

Fig: 2

Fig: 3

Fig: 4

Fig: 5

Fig: 6