mialuvschicken
mialuvschicken mialuvschicken
  • 13-11-2021
  • Mathematics
contestada

Help? I can't get a hold of it.
|1 + 2x| + |5 − 3x| − |−5x − 8 | , is x < −10
Simplified expression is:

Respuesta :

lynnkc2000 lynnkc2000
  • 13-11-2021

Answer:

steps below

Step-by-step explanation:

x < -10

|1+2x| < 0      ∴ |1+2x| = -(1+2x)

|5 − 3x| > 0   ∴ |5 − 3x| = 5-3x

|−5x − 8 | > 0   ∴ |−5x − 8 | = -5x-8

|1 + 2x| + |5 − 3x| − |−5x − 8 |

= -(1+2x) + (5-3x) - (-5x-8)

= (-2x - 3x + 5x) + (-1 + 5 + 8)

= 12

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