krystalmontes6
krystalmontes6 krystalmontes6
  • 20-09-2021
  • Mathematics
contestada

Solve this inequality. 5v+10 ≤-4v-17<9-2v

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Phobic111
Phobic111 Phobic111
  • 20-09-2021

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

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