Lesson 7-5 Graphing Linear Inequalities Graph a linear inequality in two variables Model a real life situation with a linear inequality.

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.

Graphing a Linear Inequality Sketch a graph of y  3

Graphing a Linear Inequality Sketch a graph of y < -3

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

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

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

Using What We Know Sketch a graph of y > 2x - 3 Step 1: Put into slope intercept form It already is! Step 2: Graph the line y = 2x - 3

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