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•SWBAT graph a linear inequality in two variables •SWBAT Model a real life situation with a linear inequality.

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

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

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

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

• Graph the inequality using appropriate lines • Shade above the “V” for > and • Shade below the “V” for < and  