Question

let $s$ be the universal set, where:
$s = \\{1, 2, 3, ..., 18, 19, 20\\}$
let sets $a$ and $b$ be subsets of $s$, where:

set $a = \\{1, 2, 6, 8, 9, 14, 17\\}$

set $b = \\{1, 3, 7, 8, 9, 13, 14, 15, 16, 17, 18\\}$

find the following:
list the elements in the set $(a \cup b)$:
$(a \cup b) = \\{ \quad \\}$
enter the elements as a list, separated by commas. if the result is the empty set, enter dne
list the elements in the set $(a \cap b)$:
$(a \cap b) = \\{ \quad \\}$
enter the elements as a list, separated by commas. if the result is the empty set, enter dne
you may want to draw a venn diagram to help answer this question.

Explanation:

Step1: Find union of A and B

Combine all unique elements from A and B.
$A \cup B = \{1,2,3,6,7,8,9,13,14,15,16,17,18\}$

Step2: Find intersection of A and B

Identify elements present in both A and B.
$A \cap B = \{1,8,9,14,17\}$

Answer:

$(A \cup B) = \{1, 2, 3, 6, 7, 8, 9, 13, 14, 15, 16, 17, 18\}$
$(A \cap B) = \{1, 8, 9, 14, 17\}$