Question

if A=(2,4,6,8,10),b=(1,2,3,4,5,6,7), c=(2,6,7,10,)verify that AU(BUC)=(AUB) UC

Answer 1

LHS
AU (BUC) =
BUC = {1,2,3,4,5,6,7,10}
AU (BUC) ={1,2,3,4,5,6,7,8,10}

RHS
(AUB) UC
AUB ={ 1,2,3,4,5,6,7,8,10}
AUB UC = {1,2,3,4,5,6,7,8,10}

THERFORE LHS =RHS