Graph a two-variable linear inequality

Graph inequality solution regions using boundary lines and shading.

Lesson 2

Concept

Graph the boundary line first. Use dashed lines for < or > and solid lines for ≤ or ≥, then shade the correct side.

Graph y ≥ -x + 2 and identify whether (0,0) is in the solution set.

For y < 3x - 1, the boundary line is:

Solid

Dashed

Vertical only

Not needed

Why test a point after drawing the boundary?

To choose shading side

To find slope

To remove intercept

To simplify fractions

These steps are out of order — can you fix them?

1.Rewrite in slope-intercept form

2.Shade true region

3.Graph boundary line style

4.Test a point

How do line style and shading encode the solution set?