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Answered

1. Given the sets

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10),

C = (2, 3, 4, 5} and

D = 4, 5, 6, 7, 8}, what is CD?

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Step-by-step explanation:

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10),

C = (2, 3, 4, 5} and

D = { 4, 5, 6, 7, 8}

C' = { 1, 6, 7, 8, 9 10 }

D' = { 1,2,3,9,10}

C' n D' = { 1, 9, 10 }

(C n D)' = C' n D'

C n D = { 4 }

(C n D)' = { 1,2,3,5,6,7,8,9,10 }

C' = { 1, 6, 7, 8, 9 10 } , D' = { 1,2,3,9,10}

C' U D' = { 1, 2, 3, 6, 7, 8, 9, 10 }

(C n D) ' = C' u D'

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