Question

Let U - (7, 8, 9, 10, 11, 12, 13, 14, 15, 16). A - 17, 9, 11, 13, 15), B = {8, 10, 12, 14, 16), and C (7, 8, 10, 11, 14, 15).
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Answer #1

Given U ={7,8,9,10,11,12,13,14,15,16}

A={7,9,11,13,15}

B={8,10,12,14,16}

C={7,8,10,11,14,15}

Now complement of se A i.e Ac = {8,10,12,14} (Since Ac =  {xU : xA} )

Similarly, Bc ={7,9,11,13,15}

and Cc = {9,12,13,16}

(a) Ac ∩ (B∩Cc) = {8,10,12,14} ∩ {12,16} = {12}

(b) (A U Bc) U (B∩Cc) ={7,9,11,13,15} U {12,16} = {7,9,11,12,13,15,16}

(c) (A U B)c ∩ Cc = {Empty} ∩ {9,12,13,16} = {Empty}

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