2-7 Graphing Inequalities Objectives Students will be able to: 1) graph linear inequalities 2) graph absolute value inequalities

Linear inequalities A linear inequality resembles a linear equation, but with an inequality symbol, rather than an equal sign. The graph of a linear inequality is the region of the graph in which every point in the region satisfies the inequality. This region gets shaded.

Example 1: Graph each inequality. Step 1: Graph y=2x+1; However, since the symbol is >, the line should be dashed. Step 2: Test (0, 0) Step 3: Shade your region!

Try this.

Maintain your composure, and give this a shot.

Try this on for size.

Absolute value inequalities Now that you are having the most fun you have ever had in your entire life, EVER, let’s look at absolute value inequalities. Graphing absolute value inequalities is done following the same procedure as graphing linear inequalities. Start by graphing the absolute value function (same rules for solid or dashed). Then pick a test point, and finally shade the region that works.

Example 2: Graph each absolute value inequality.

Try this.

One more.