# How do I solve the polynomial inequality -2(m-3)<5(m+1)-12?

Sep 13, 2014

-2(m-3) < 5(m+1) -12 Distribute.
-2m+6 < 5m + 5 - 12 Add -5m to both sides and -6 to both sides.
-2m -5m < -7 -6
-7m < -13
Divide both sides by -7 and switch the direction of the inequality symbol.
So, m > $\frac{13}{7}$

I hope this helps!