Question

If A={1,2,3,4}, B={3,4,5,6}, C={6,7}. Verify that (A∩B) ∩ C=A∩(B∩C) ​

Answer 1

Answer:

A = {1, 2, 3, 4}, B = {3, 4, 5, 6} and C = {6, 7}

to prove (A∩B)∩C = A∩(B∩C)

LHS => (A∩B) = {3, 4}

=> (A∩B)∩C = { ∅ }

RHS => (B∩C) = { 6 }

A∩(B∩C) = { ∅ }

LHS = RHS

hence proved