Question

If A = {3, 6, 9, 12, 15, 18, 21} ; B = {4, 8, 12, 16, 20} and

C = {2,4,6,8,10,12,14,16} then show that A∪(B∩C) = (A∪B)∩(A∪C).​

Answer 1

Answer:

ANSWER

A={3,6,9,12,15,18,21}

B={4,8,12,16,20}

C={2,4,6,8,10,12,14,16}

D={5,10,15,20}

(i) A−B={3,6,9,15,18,21}

(ii) A−C={3,9,15,18,21}

(iii) A−D={3,6,9,12,18,21}

(iv) B−A={4,8,16,20}

(v) C−A={2,4,8,10,14,16}

(vi) D−A={5,10,20}

(vii) B−C={20}

(viii) B−D={4,8,12,16}

(ix) C−B={2,6,10,14}

(x) D−B={5,10,15}

(xi) C−D={2,4,6,8,12,14,16}

(xii) D−C={5,15,20)