Question

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

Answer 1

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.