Answer:
[tex]A\capB\capC[/tex] = EMPTY
Step-by-step explanation:
The intersection of two sets is the set that contains every element that is in both of those sets.
Because of the (), initially we are going to solve [tex]B\capC[/tex].
B = {1, 2, 5, 4}
C = {3, 5, 1}
The elements that are in both B and C are 1 and 5, so:
[tex]B \cap C = \left\{1,5\right\}[/tex]
Now we do [tex]A\capB\capC[/tex]
A = {4, 8, 6}
[tex]B \cap C = \left\{1,5\right\}[/tex]
There are no elements that are in each of those sets, so the result of the intersection of these sets is the empty set;
[tex]A\capB\capC[/tex] = EMPTY