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

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

(i)  B

(ii)  C

(iii) A  C  D

(iv) A  C

(v)  D

(vi) A  (B  C)

(vii) A  D

(viii) A  (B  D)

(ix) (A  B)  (B  C)

(x) (A  D)  (B  C)

Solution:

(i)  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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