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If U = {1, 3, 5, 7, 9, 11, 13, 15, 17}

    A = { 1, 3, 5, 7}, B = {1, 3, 9, 11}

Find :

(i) A' (ii) B'  (iii)  (A  B)' (iv) (A  B)'

Asked by Topperlearning User 11th August 2014, 12:47 PM
Answered by Expert
Answer:

Its given that, 


U = {1, 3, 5, 7, 9, 11, 13, 15, 17}

    A = { 1, 3, 5, 7}, B = {1, 3, 9, 11}


Hence,  A  B = {1, 3}

           A  B = {1, 3, 5, 7, 9, 11}

Now, (i) A' = {elements which are in U and not in A} = {9, 11, 13, 15, 17}

       (ii) B' = {elements which are in U and not in B} = {5, 7, 13, 15, 17} 

       (iii)  (A  B)' = {elements of U which are not in A  B } = {5, 7, 9, 11, 13, 15, 17}

       (iv) (A  B)' = {elements of U which are not in A  B } = {13, 15, 17}

Answered by Expert 11th August 2014, 2:47 PM
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