Question

let $u = \\{1, 2, 3, 4, 5, 6, 7, 8\\}$, $a = \\{6, 8, 2\\}$, $b = \\{1, 8, 5, 2\\}$, and $c = \\{3, 1, 5\\}$. find the following. (enter your answers as a comma-separated list. enter empty for the empty set.) $a \cap (b \cap c)$

Explanation:

Step1: Find $B \cap C$

Identify common elements in $B$ and $C$:
$B = \{1, 8, 5, 2\}$, $C = \{3, 1, 5\}$
$B \cap C = \{1, 5\}$

Step2: Find $A \cap (B \cap C)$

Identify common elements in $A$ and $\{1, 5\}$:
$A = \{6, 8, 2\}$
$A \cap (B \cap C) = \{\}$ (no shared elements)

Answer:

EMPTY