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let the universal set be the letters a through j: u = {a, b, ..., i, j}…

Question

let the universal set be the letters a through j: u = {a, b, ..., i, j}.
let a = {a, c, e, f}, b = {b, c, f, g}, and c = {c, e, g, i}
list the elements of the set $a \cap (b \cup c)$
question help: video 1 video 2

Explanation:

Step1: Find $B \cup C$

Combine unique elements of B and C:
$B \cup C = \{b, c, e, f, g, i\}$

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

Identify common elements of A and $B \cup C$:
$A \cap (B \cup C) = \{c, e, f\}$

Answer:

$\{c, e, f\}$