Answer:
m >9 or m < -9
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