Understanding Inequalities
An inequality is a math statement that compares expressions using symbols like < (less than) or ≥ (greater than or equal to). Unlike equations, inequalities give you a range of solutions.
When you graph inequalities, you use open circles for < and > symbols (not including the number), and closed circles for ≤ and ≥ symbols (including the number). Then you draw an arrow showing all the solutions.
For example, if Mr. Perry is over 147 years old, we write P > 147 and draw an open circle at 147 with an arrow pointing right. If he's at least 20, we write P ≥ 20 and draw a closed circle at 20 with an arrow pointing right.
Remember this! When you multiply or divide both sides of an inequality by a negative number, you must flip the inequality symbol. For example, if -4x > 20, then x < -5 after dividing by -4.
