113k views
3 votes
A = {1, 3, 5, 7, 9}

B = {2, 4, 6, 8, 10}
C = {1, 5, 6, 7, 9}
A ∩ (B ∩ C) =

a.){1, 3, 5, 6, 7, 9}
b.){1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
c.){}

2 Answers

6 votes
B intersect C = {6}
A intersect {6} = { }
The empty set
Letter C
User Danieljimenez
by
6.7k points
4 votes

Answer:

The correct option is C) { }

Explanation:

The given sets are:

A = {1, 3, 5, 7, 9}

B = {2, 4, 6, 8, 10}

C = {1, 5, 6, 7, 9}

We need to find A ∩ (B ∩ C)

Since intersection '∩' means common number between those sets

First find (B ∩ C)

(B ∩ C) = 6

now take intersection with A

A ∩ (B ∩ C) =
\phi

Hence, A ∩ (B ∩ C) is null set

Therefore, The correct option is C) { }

User Andrew Arrow
by
6.5k points