Question

Write a compound inequality that represents each situation. Graph your solution.

all real numbers at least –8 and at most 0

a. -8<x<0 
b. -8≥x≥0
c. -8>x>0
d. -8≤x≤0
I know how to do the graphing part. But I cant figure out the answer.

Answer 1

The answer is D.

at least -8 and at most 0
-8 ≥ x ≥ 0

The solution set is [-8, 0].

Answer 2

The given statement is

all real numbers at least –8 and at most 0

At least means the minimum value which is -8 here. And at most means the maximum value which is 0 here.

So x is in between -8 and 0 incuding -8 and 0. And the compound iequality is

`-8 \leq x \leq  0`

And the correct option is D .