Question

let A = { 0, 1,2,3,4,5} B = { 2,4,6,8} and C = { 1,3,5,7} verify ( Anb) nc = an (bnc)​

Answer 1

Step-by-step explanation:

LHS

(Anb)

={0,1,2,3,4,5}n{2,4,6,8}

={2,4}

(Anb)={2,4}

(Anb)nC={2,4}n{1,3,5,7}

=0

RHS

(bnc)

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

={7}

an(bnc)

={0,1,2,3,4,5}n {7}

=0

LHS=RHS