(a) Let A = {1,2,3,4}, B = {3kk e Z-{-1,1}} and C = {ne Zn+n =...

 

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(a) Let A = {1,2,3,4}, B = {3kk e Z-{-1,1}} and C = {ne Zn+n = 0}. Which one of the following statements is True? Explain your answer i. AnB = 0 ii. B-C=0 iii. BnC = 0 iv. AUC =0 (b) Let A and B be two sets. Show that if ACB, then i. AU B = B ii. An B = A (c) Let A, B and C be three sets. Draw the Venn diagrams for each of these combinations: i. AnBnC ii. (A B) U (A -C)U(B-C) (d) Let A and B be subsets of a universal set U. Show that AC B if and only if BCA. [4] [6] [6] [4] (a) Let A = {1,2,3,4}, B = {3kk e Z-{-1,1}} and C = {ne Zn+n = 0}. Which one of the following statements is True? Explain your answer i. AnB = 0 ii. B-C=0 iii. BnC = 0 iv. AUC =0 (b) Let A and B be two sets. Show that if ACB, then i. AU B = B ii. An B = A (c) Let A, B and C be three sets. Draw the Venn diagrams for each of these combinations: i. AnBnC ii. (A B) U (A -C)U(B-C) (d) Let A and B be subsets of a universal set U. Show that AC B if and only if BCA. [4] [6] [6] [4]

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It looks like youve provided a set of problems related to set theory Let me address each of them one by one a Let A 1234 B 3k k 11 and C n n2 n 0 Which one of the following statements is True Explain ... View the full answer