Question

Which of the following is the correct graph of the compound inequality 4p + 1 > −11 or 6p + 3 < 39? ....

Answer 1

Solve for the p first:
4p + 1 > -11
4p > -12
p > -3

or

6p + 3 < 39
6p < 36
p < 6

So p > -3 or p < 6

Open circle on -3 and shading to the right. Open circle on 6 shading to the left.

Answer 2

So it'd cover the whole line, D.