Question

if A = { 1,5,6,7)
B = {2,4,6,8}
(= (-3,3,6}Then vertrive
AU(BUC)=(AUB)UC​

Answer 1

this is solve your problem

Answer 2

ANSWER

A={1,5,6,7}

B={2,4,6,8}

C={-3,3,6}

REQUIRED

AU(BUC)=(AUB)UC

Taking L.H.S

AU(BUC)=?

we first find (BUC)

BUC={2,4,6,8}U{-3,3,6}

BUC={-3,2,3,4,6,8}

Now Finding AU(BUC)

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

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

Taking R.H.S

(AUB)UC=?

we first find (AUB)

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

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

Now Finding(AUB)UC

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

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

SO,

HENCE PROVED THAT L.H.S=R.H.S