Intro to Inequalities Unit 4 Section 4.1

Definition A statement that a mathematical expression is greater than or less than another expression.

Symbols < less than ≤ less than or equal to > greater than ≥ greater than or equal to

Solutions Your solution can be represented as an inequality with a shaded number line, interval notation, and in words. The solution indicates all number sets that make the inequality true. For example, what does the solution to x < 2 look like?

Graphing If you are graphing a “less than” or “greater than” you are not including the number in your solution. This is shown with an open circle on the number line, or a parentheses when using interval notation.

Graphing If you are graphing a “less than or equal to” or a “greater than or equal to” you are including the number in your solution. This is shown with a closed circle on the number line, or a bracket when using interval notation.

Reading and graphing an inequality

Reading and graphing inequality

Interval Notation Graph the following inequalities and also express the answer in interval notation.