The inequality can be simplified to -2 ≤ p ≤ 1.
the interval of solutions (or interval notation, as wanted here) for the inequality is [-2, 1]
How to find the interval notation for the given inequality?
Here we have the compound inequality:
-13 ≤ 3 + 8p ≤ 11
We want to simplify this, so we should try to isolate the variable p in the center of the inequality.
First, we can subtract 3 everywhere.
-13 - 3 ≤ 3 + 8p - 3 ≤ 11 - 3
-16 ≤ 8p ≤ 8
Now we divide all by 8 so we get:
-16/8 ≤ 8p/8 ≤ 8/8
-2 ≤ p ≤ 1
The interval notation for the inequality, which actually should be called the interval of solutions for the inequality, is [-2, 1]
If you want to learn more about compound inequalities:
brainly.com/question/25275758
#SPJ1
