Question

sets h and l are defined as follows. \\( h = \\{1, 4, 8\\} \\) \\( l = \\{-2, 2, 5, 8\\} \\) answer each part below. write your answer in roster form or as \\( \varnothing \\). (a) find the intersection of h and l. \\( h \cap l = \\) (b) find the union of h and l. \\( h \cup l = \\)

Explanation:

Step1: Identify common elements

Find numbers in both $H$ and $L$.
$H=\{1,4,8\}$, $L=\{-2,2,5,8\}$; common element is $8$.

Step2: Write intersection set

$H \cap L = \{8\}$

Step3: Combine all unique elements

Gather all distinct numbers from $H$ and $L$.
Elements are $-2,1,2,4,5,8$.

Step4: Write union set

$H \cup L = \{-2,1,2,4,5,8\}$

Answer:

(a) $H \cap L = \{8\}$
(b) $H \cup L = \{-2,1,2,4,5,8\}$