The solution set of the inequality is (-5, 9], and the graph can be seen in the image below.
How to simplify the given compound inequality?
Here we have two inequalities:
10n - 9 > -59
n - 6 ≤ 3
Now we need to isolate n in both of these inequalities, so we get:
10n > -59 + 9
10n > -50
n > -50/10
n > -5
n - 6≤ 3
n ≤ 3+ 6
n ≤ 9
Then we have the two inequalities:
n > -5
n ≤ 9
Then we can make the compound inequality:
-5 < n ≤ 9
Then the solution interval is (-5, 9], and the graph on the number line is the one you can see below, with an open circle on -5 and a closed circle on 9.
If you want to learn more about compound inequalities:
https://brainly.com/question/24372553
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