Question

Let A = {0, 1, 2, 3, 4, 5}, B = {1, 2, 4, 6, 8} and C = {1, 3, 5, 7}

Verify (A ∩ B) ∩ C = A ∩ (B ∩ C)​

Answer 1

Answer:

Left hand side

[{ 0,1,2,3,4,5 }n{1,2,4,6,8}] n {1,3,5,7}

{1,24}n{1,3,5,7}

{1} One is commen element it's L.H .S

Right hand side

[{1,2,4,6}n{,1,3,5,7}]n{0,1,2,3,4,5}

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

{1}

hence proved

Marked me brilliant