Graphing Linear Inequalities in Two Variables

1. Graphing Linear Inequalities in Two Variables • SWBAT graph a linear inequality in two variables • SWBAT Model a real life situation with a linear inequality.

2. Some Helpful Hints • If the sign is > or < the line is dashed • If the sign is  or  the line will be solid • When dealing with just x and y. • If the sign > or  the shading either goes up or to the right • If the sign is < or  the shading either goes down or to the left

3. When dealing with slanted lines • If it is > or  then you shade above • If it is < or  then you shade below the line

4. Graphing an Inequality in Two Variables Graph x < 2 Step 1: Start by graphing the line x = 2 Now what points would give you less than 2? Since it has to be x < 2 we shade everything to the left of the line.

5. Graphing a Linear Inequality Sketch a graph of y  3

6. Using What We Know Sketch a graph of x + y < 3 Step 1: Put into slope intercept form y <-x + 3 Step 2: Graph the line y = -x + 3

7. Graphing 2-Variable Absolute Value Inequalities • Graph the inequality using appropriate lines • Shade above the “V” for > and • Shade below the “V” for < and