How do i solve this inequality? - 2|3m|+3<-51

m >9 or m < - 9

Step-by-step explanation:

-2|3m|+3<-51

Subtract 3 from each side

-2|3m|+3-3<-51-3

-2|3m|<-54

Divide each side by - 2, remembering to flip the inequality

-2|3m| / - 2>-54/-2

|3m|> 27

To get rid of the absolute values, we separate into two inequalities, one as written and one negative, remembering to flip the inequality

3m >27 or 3m <-27

Divide by 3 on each side

3m/3 >27/3 or 3m/3 <-27/3

m >9 or m < - 9