Question

Prove that A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C) for any three sets A, B, C.

Answer 1

let A={0}
     B={0,1}
      C={1,2}
lhs={o}∧{0,1,2}
={0}
rhs={0}∨Ф={0}

Answer 2

$\textbf{Answer is in Attachment !}$