Given That A = {0, 1, 2, 3, 4} , B = {1, -2, 3, 4, 5, 6} , C = {2, 4, 6, 7}Show that Au(BnC) = (AuB)n(AuC). Created by anumxmirza81266.

Given That A = {0, 1, 2, 3, 4} , B = {1, -2, 3, 4, 5, 6} , C = {2,

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Given That A = {0, 1, 2, 3, 4} , B = {1, -2, 3, 4, 5, 6} , C = {2, 4, 6, 7}

Show that Au(BnC) = (AuB)n(AuC)

LHS

bnc = {4,6}

au(bnc) = { 0,1,2,3,4,6} - 1

RHS

Aub= { -2,0,1,2,3,4,5,6}

AUC = { 0,1,2,3,4,6,7}

(Aub)n(AUC) = {0,1,2,3,4,6} - 2

From 1 and 2

LHS = RHS

hence verified