Math, asked by omil6834gmailcom, 1 year ago

If A = {1,2,3,4), B = {3,4,5,6), C = {4, 5, 6, 7, 8) and universal set
X = {1,2,3,4,5,6,7,8,9,10), then verify the following:
i) AU(BC) = (AUB)O(AUC)
ii) An(BUC)=(ANB)U(ANC)

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Answers

Answered by rudra01
26

AU(BnC)=AU {4,5,6}

={1,2,3,4,5,6}

(AUB) n (AUC)={1,2,3,4,5,6} n {1,2,3,4,5,6,7,8}

={1,2,3,4,5,6}

thus, AU(BnC)=(AUB) n (AUC)

Answered by rudra01
20

AU(BnC)=AU {4,5,6}

={1,2,3,4,5,6}

(AUB) n (AUC)={1,2,3,4,5,6} n {1,2,3,4,5,6,7,8}

={1,2,3,4,5,6}

thus, AU(BnC)=(AUB) n (AUC)

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