Question

Which statement best describes the solution set to this Inequality?
0<8+x<17

Answer 1

Answer: b

Explanation:

Answer 2

A: the solution set includes all values of x greater than -8 and less than 9

Explanation:

In order to figure out what the solution set is, we have to isolate the x in the middle of the inequality. To do that, we have to subtract each aspect of the inequality by 8, which is the constant in the middle (just like we would do to isolate a variable in an equation):

`0-8 < 8+x-8 < 17-8\\-8 < x < 9`

Now that we have simplified the inequality, we see that x has to be greater than -8 and less than 9. So, the solution set includes all values of x greater than -8 and less than 9. In other words, the answer is A