-8|9+9m| < 72

is the "|" an absolute value sign? I'm not sure whether to interpret that as what I've written below, or not.



In any inequality, you plot or calculate the curve corresponding to the "=" case. Then, pick a point above or below the curve and determine if it meets the inequality (< in this case). If it doesn't, try the other side (one side has to work). Then, you include all the area.

If the inequality is < or >, the inequality doesn't include the curve.

First divide by -8 on both sides
Now take away the abs. value symbol but have the opposite side be negative and positive, two equations may help.
Now solve.

Isn't there some rule, if you multiply by a negative, you have to switch the orientation of the inequality?