1. Solving Inequalities Students will be able to solve inequalities and graph them on a number line.

2. FHS Equations and Inequalities 2 Solving Inequalities To solve inequalities, we follow the same procedures that we do in solving equations. But Warning! - There is one exception. Whenever you multiply or divide by a negative number, you always change the direction of the inequality sign. Here are some examples: The difference between these two problems is that we are dividing by a negative number.

3. FHS Equations and Inequalities 3 Graphing Inequalities We need to graph our answer on the number line. If we have a sign, we will put an open circle on that number on the number line. If we have a ≤ or a ≥, then we put a solid circle on that number on the number line. Then we shade the number line in the correct direction.

4. FHS Equations and Inequalities 4 Examples Here are some examples to graph. x > 3 x < – 3 | | | | | | | -2 -1 0 1 2 3 4 | | | | | | | -4 -3 -2 -1 0 1 2

5. FHS Equations and Inequalities 5 Here are some more examples: x ≤ 2 y ≥ -1 | | | | | | | -3 -2 -1 0 1 2 3 | | | | | | | -3 -2 -1 0 1 2 3 Examples