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Alexus [3.1K]
3 years ago
5

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}

Mathematics
2 answers:
Rufina [12.5K]3 years ago
6 0

<u><em>Answer:</em></u>

{2}

<u><em>Explanation:</em></u>

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

<u>We are given that:</u>

A = {1, 2, 3}

B = {2 , 4, 6}

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

Now, we are asked to get A ∩ (B∩C)

<u>1- Let's start with what's in the brackets:</u>

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}

<u>2- Now. let's consider A ∩ (B∩C):</u>

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 :)

omeli [17]3 years ago
6 0
<h2>Answer:</h2>

<u>The right choice is option </u><u>{2}</u>

<h2>Explanation:</h2>

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}

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