Question

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}
C) {}

Answer 1

The intersection of two sets is a new set that contains all of the elements that are in both sets

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

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

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

Set B and C has 6 in both sets

B ∩ C = {6}

A ∩ (B ∩ C) = {}

Answer: C) {}

Answer 2

The upside down U means the numbers the sets have in common.

Do what is in parenthesis first:

(B ∩ C) = 6 is the only common number in set B and Set C.

A ∩ (B ∩ C) = Would be all the numbers in A plus the number 6 from (B ∩ C).

The answer would be A) {1, 3, 5, 6, 7, 9}