Question

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

Answer 1

h < -19/6

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