You can put this solution on YOUR website! |3x+5|>-2
solve for two conditions:
for (3x+5)>0
3x+5>-2
3x>-7
x>-7/3
..
for (3x+5)<0
-3x-5>-2
-3x>3
divide by -3 and reverse inequality sign
x<-1
number line
<......-7/3......-1........>
solution: (-7/3,-1)