Complement of a set, Mathematics

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For the universal set T = {1, 2, 3, 4, 5} and its subset A ={2, 3} and B ={5, }

Find

i) A1

ii) (A1)1

iii) (B1)1


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2/12/2013 5:56:27 AM

Solution

i) A1 ={2, 3}1 = {1, 4, 5}

ii) (A1)1 =({2, 3}1)1 = {1, 4, 5}1={2, 3} = A

iii) (B1)1=({5}1)1 = {1, 2, 3, 4}1={5} = B

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