Question

Given A = {1, 2, 3}, B = {2, 4, 6} and C = {1, 2, 3, 4, 5, 6}, then A ∩ (B ∩ C) = _____. {} {2} {1, 2, 3, 4, 5, 6, 7, 8}

Answer 1

The right choice is option {2}

Step-by-step explanation:

As

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

Let us find (B ∩ C)

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

(B ∩ C) = {2,4,6}

Now

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

A ∩ (B ∩ C) = {2}

Answer 2

{2}

Step-by-step explanation:

The symbol ∩ refers to intersection which means the common elements between two sets

We are given that:

A = {1, 2, 3}

B = {2 , 4, 6}

C = {1, 2, 3, 4, 5, 6}

Now, we are asked to get A ∩ (B∩C)

1- Let's start with what's in the brackets:

B∩C refers to the common elements between B and C

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

2- Now. let's consider A ∩ (B∩C):

This means the common elements between set A and the set we got from part 1

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

Hope this helps :)