Answer:
x > 8
Explanation:
You want the solution to the compound inequalities ...
- -x -3 < 0, and
- -11 > -x -3
Solutions
The first inequality can be solved by adding x to both sides:
-x -3 < 0
-3 < x
The second inequality can be solved by adding x+11 to both sides:
-11 > -x -3
x > 8
Intersection
The intersection of these solution spaces is ...
-3 < x and 8 < x ⇒ 8 < x
Only points on the number line that are to the right of x=8 are in both solution sets.
8 < x
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