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Question

If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find

(i) A B

(ii) B C

(iii) A C D

(iv) A C

(v) B D

(vi) A (B C)

(vii) A D

(viii) A (B D)

(ix) (A B) (B C)

(x) (A D) (B C)

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Solution

(i) A B = {7, 9, 11}

(ii) B C = {11, 13}

(iii) A C D = { A C} D = {11} {15, 17} = Φ

(iv) A C = {11}

(v) B D = Φ

(vi) A (B C) = (A B) (A C)

= {7, 9, 11} {11} = {7, 9, 11}

(vii) A D = Φ

(viii) A (B D) = (A B) (A D)

= {7, 9, 11} Φ = {7, 9, 11}

(ix) (A B) (B C) = {7, 9, 11} {7, 9, 11, 13, 15} = {7, 9, 11}

(x) (A D) (B C) = {3, 5, 7, 9, 11, 15, 17) {7, 9, 11, 13, 15}

= {7, 9, 11, 15}


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