Question

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 AU(BNC)=AUB​

Answer 1

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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

Answer:

so in set BNC, we have 4,5,6 and these are in set A so AU(BNC)={1,2,3,4,5,6}, and AUB we have AUB={1,2,3,4,5,6}

H.P.