Question

Given A = {1, 2, 3), B = {2, 4, 6) and C = {1, 2, 3, 4, 5, 6), then An (Bn C) = _

Answer 1

{2}

Explanation:

A ∩ (B ∩ C) = {1, 2, 3} ∩ ({2, 4, 6} ∩ {1, 2, 3, 4, 5, 6})

= {1, 2, 3} ∩ {2, 4, 6}

= {2}

A ∩ (B ∩ C) = {2}

_____

The intersection of sets is the list of elements common to those sets.