Question

Which is the graph of the solution set of the compound inequality?
5 < a - 15 < 2

Answer 1

I've done this a couple of times, but it keep saying I'm wrong. (I choose A and C). I think it's D, but I want to make sure

Answer 2

Something is messed up with the problem. You sure that is it?

Answer 3

yep

Answer 4

5 isn't less than 2! there are no numbers that are less than 2 and also greater than 5.

Answer 5

However, if that's supposed to be -5 < a - 15 < 2, there is a solution.

Answer 6

-5 < a - 15 < 2

Add 15 to each component:

15 - 5 < a - 15 + 15 < 2 + 15
10 < a < 17

now remember that we use open circles if the endpoint is not included (< or >) and closed circles if it is included (<= or =>)

go look at your graphs again. I think you'll find the answer.