# Chapter 4

states that when you add the same number to both sides of an inequality, the inequality remains true

Division Property of Inequality

(case 1) states that when you divide both sides of an inequality by a positive integer, the inequality remains true; (case 2) when you divide both sides of an inequality by a negative integer, the direction of the inequality symbol must be reversed for the inequality to remain true.

Graph of an Inequality

shows all the solutions of the inequality on a number line

Inequality

a mathematical sentence that compares expressions that are not equal

Multiplication Property of Inequality

(case 1) states that when you multiply both sides of an inequality by a positive integer, the inequality remains true; (case 2) when you multiply both sides of an inequality by a negative integer, the direction of the inequality symbol must be reversed for the inequality to remain true.

Solution of an Inequality

a value that makes the inequality true

Solution Set

the set of all solutions on an inequality

Subtraction Property of Inequality

states that when you subtract the same number from both sides of an inequality, the inequality remains true

?

is not equal to

<

is less than

?

is less than or equal to

>

is greater than

?

is greater than or equal to