APPENDIX A - Numbers, Inequalities, and Absolute Values - A Exercises - Page A10: 59

$x \gt \frac{c-b}{a}$ The solution set is $~~~(\frac{c-b}{a},\infty)$

Note that $a$, $b$, and $c$ are negative constants. $ax+b \lt c$ $ax \lt c-b$ $x \gt \frac{c-b}{a}$ The solution set is $~~~(\frac{c-b}{a},\infty)$ Note that the inequality changes from $~~\lt~~$ to $~~\gt~~$ when we divide by $a$ because $a \lt 0$