Answer:
Step-by-step explanation:
This is called "solving an inequality".
The inequality can flip:
< becomes >
> becomes <
≤ becomes ≥
≥ becomes ≤
This only happens when we multiply or divide both sides by a negative number, or when we swap everything from either sides.
The thing to remember if there are two of the inequalities, we have to do everything to both sides. The goal stays the same. Get the "X" by itself in the middle.
-17 < 5 - 2x <= 9
-5 -5 -5
------------------------
-22 < -2x <= 4
Now we have to divide the -2 on both sides. Remember! Dividing by a negative means we have to FLIP THE SIGNS!
-22 < -2x <= 4
/-2 /-2 /-2
----------------------
11 > x >= -2
And your final answer would be that.
It can also be written this way:
-2 <= x < 11
