Which values are solutions to 90 < - 30p + 15?

You can solve this by dividing by - 30. Note that this reverses the comparison symbol. After doing so, you get

... - 3 > p - 1/2

Now, adding 1/2 will get p by itself.

... - 2 1/2 > p

Any of your answer choices that are less than - 2.5 will be solutions to the given inequality.