Question

if U={1,2,3,4,5,6,7,8,9}A={2,4,6,8,} and B={2,3,5,7} verify that (AUB)=AnB​

Answer 1

Step-by-step explanation:

AUB. A'=U-A

= {2,4,6,8} u {2,3,5,7}. ={1,2,3,4,5,6,7,8,9} {2,4,6,8}

= {2,3,4,5,6,7,8}. = {1,3,5,7,9}

(AUB)'. B'=U-B

= U-(AUB). ={1,2,3,4,5,6,7,8,9} {2,3,5,7}

= {1,2,3,4,5,6,7,8,9,}. ={1,4,6,8,9}

= { 2,3,4,5,6,7,8}

= {1,9}

A' n B'

={1,3,5,7,9}n{1,4,6,8,9}

={1,9}

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