Question

If a ={1,2,3,7,8},B={4,5,6,7,8} and C={9,10} verify that AU(BUC)=AUC​

Answer 1

Step-by-step explanation:

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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Answer 2

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)