Question

If A={6,7,8,9,10}, B={2,4,6,8} and C={3,6,9,12}, prove that: (a) A u (B n C) = (A u B) n ( A u C)​

Answer 1

Step-by-step explanation:

this is the answer I hope it will helps you

Answer 2

Given,

A = {6,7,8,9,10}

B = {2,4,6,8}

C = {3,6,9,12}

We have to prove :  A∪(B∩C) = (A∪B)∩(A∪C)

LHS

B∩C = {6}

A∪(B∩C) = {6,7,8,9,10}

RHS

A∪B = {2,4,6,7,8,9,10}

A∪C = {3,6,7,8,9,10,12}

(A∪B)∩(A∪C) = {6,7,8,9,10}

LHS = RHS

{6,7,8,9,10} = {6,7,8,9,10}

A∪(B∩C) = (A∪B)∩(A∪C)

Hence Proved !!!