Question

Which of the following is the correct graph of the compound inequality 4p + 1 > −15 and 6p + 3 < 45?

Answer 1

The graph of the compound inequality can be seen at the end.

How to get the graph of the compound inequality?

Here we have two inequalities that depend on p, these are:

4p + 1 > -15

6p + 3 < 45

First, we need to isolate p on both inequalities.

4p + 1 > -15

4p > -15 - 1

p > -16/4

p > - 4

6p + 3 < 45

6p < 45 - 3 = 42

p < 42/6 = 7

So we have the compound inequality:

p > -4

p < 7

or:

-4 < p < 7

Then this represents the set (-4, 7) where the values -4 and 7 are not included, so we should graph them with open circles.

The graph of the inequality is something like the one below.

If you want to learn more about inequalities:

https://brainly.com/question/18881247

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