Answer:
v ≤ -3 v < -13
Step-by-step explanation:
5v + 10 ≤ -4v - 17 < 9 - 2v
5v + 10 ≤ -4v - 17
Solve this first. Bring all the like terms together, on one side.
5v + 4v ≤ -17 - 10
9v ≤ -27
v ≤ [tex]\frac{-27}{9}[/tex]
v ≤ -3
Take the rest of the inequality.
-4v - 17 < 9 -2v
Bring all the like terms together.
-4v + 2v < 9 + 17
-2v < 26
v < [tex]\frac{-26}{2}[/tex]
v < -13