given A=(1,2,3,4,5)B=(3,4,5,6)andC=(5,6,7,8)S.T AUCBUC=(AUB) UC​

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given A=(1,2,3,4,5)B=(3,4,5,6)andC=(5,6,7,8)S.T AUCBUC=(AUB) UC​

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Sophia 1 month 2021-08-18T03:11:34+00:00 1 Answer 0 views 0

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    2021-08-18T03:13:05+00:00

    Answer:Hi there i feel it should be AU(BUC)=(AUB)UC

    So according to me the answer is

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


    B ={3,4,5,6}


    C = {5,6,7,8}


    A U(BUC) = {1,2,3,4,5}U{ 3,4,5,6 U 5,6,7,8}

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

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


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

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

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


    it shows that, A U( BUC) = ( AUB) U C.


    May it is helpful for you.

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