## Precalculus (6th Edition) Blitzer

Fill the blanks with adding 4 dividing -3 inequality symbol (or, direction of the inequality) $\gt$ $\lt$
The idea is to isolate x on one side. Adding, subtracting or multiplying/dividing with a positive number preserves the order (the inequality symbol remains). Multiplying/dividing with a negative number inverts the order (the inequality symbol changes) --- $-3x-4 \gt 5 \qquad ...$ add 4 to both sides $-3x \gt 9 \qquad$ ... divide both sides with $-3$ (negative!) $x \lt -3$