Graphing Linear Inequalities in Two

Variables•Graph a linear inequality

in two variables

•Model a real life situation with a linear inequality.

Graphing an Inequality in Two Variables

Graph x < 2Step 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

Some Helpful Hints

•If the sign is > or < the line is dashed

•If the sign is or the line will be solid

•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 KnowSketch a graph of x + y < 3

Step 1: Put into slope intercept form

y <-x + 3

Step 2: Graph the line y = -x + 3

When dealing with slanted lines

•If it is > or then you shade above

•If it is < or then you shade below the line