bellalotz24 bellalotz24
  • 25-09-2020
  • Mathematics
contestada

Solve the Inequality: -2|1-3h|+9<-12

Respuesta :

hernandezcarina0408
hernandezcarina0408 hernandezcarina0408
  • 25-09-2020

Answer:

h < -19/6

Step-by-step explanation:

Step 1 : Add -9 to both sides.

-2(|1-3h|)+9<-12

-2(|-3h+1|)+9<-12

Step 1: -2(|-3h+1|)+9+ -9<-12+ -9

          -2(|-3h+1|)<-21

step 2: Divide both sides by 2.

-2(|3h+1|)    -21  

                 -2            -2

|-3h+1|> 21/2

step 3: solve absolute value.

|-3h+1|> 21/2

or either -3h+1-1> 21/2-1 (subtract 1 from both sides)

-3h>19/2

-3h > 19/2 (divide both sides by -3)

 -3       -3

h<-19/6

hope this made sense    

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