Respuesta :

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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