Question

If A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, C = {7, 8, 9, 10, 11} and D = {10, 11, 12, 13, 14}. • Find (i) A U B (ii)B U C (iii) A ΠC (iv) A Π D (v) A Π B • Verify the following (i) A U (B Π C) = (A U B) Π (A U C) (ii) A Π (B UC) = (A Π B) U (A Π C) (iii) A Π (B - C) = (A Π B) - (A Π C)

Answer 1

Answer:

(i) {1,2,3,4,5,6,7}

ii){4,5,6,7,8,9,10,11}

iii) disjoint set

iv) disjoint set

v){4,5}