Question

let the universal set be the letters a through j: u = {a, b, ..., i, j}.
let a = {b, c, h, j}, b = {a, c, e, h}, and c = {a, c, f, j}
list the elements of the set $(a \cap b) \cup c$
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Explanation:

Step1: Find $A \cap B$

Identify common elements in A and B.
$A \cap B = \{c, h\}$

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

Combine elements of $A \cap B$ and C, no duplicates.
$(A \cap B) \cup C = \{a, c, f, h, j\}$

Answer:

$\{a, c, f, h, j\}$