Respuesta :

the interval of solutions for the inequality is [-2, 1]

And the graph on a number line is something like the one you can see at the end.

How to graph the given inequality?

Here we have the inequality:

-13 ≤ 3 + 8p ≤ 11

The first thing we need to do, is isolate the variable p in the middle, to do that, we start by subtracting 3 on the 3 sides:

-13 - 3  ≤ 3 + 8p - 3 ≤ 11 - 3

-16 ≤ 8p ≤ 8

Now we divide all by 8 so we get:

-16/8 ≤  p ≤  8/8

-2 ≤  p ≤  1

Then the interval of solutions for the inequality is [-2, 1]

And the graph on a number line is something like the one below.

If you want to learn more about inequalities:

https://brainly.com/question/25275758

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