1. Relations and Functions
Two-Variable Inequalities -- Chapter 2-8

2. Linear Inequalities
Like y ≤ 3x +1
Graph as if it was y = 3x + 1
But… line is only solid if it is part of solution (meaning ≤ or ≥) otherwise DOTTED line (> or <)
AND… must SHADE IN solution region
(shading follows Y)

3. Linear Inequality

4. But if it isn’t in slope-intercept form
Be careful of shading! Convert to slope-intercept to be sure!
“half-plane” means the whole infinite field is divided by the line

5. Absolute Value
Works the same – dotted or solid line, shade above the lines for y> or y≥
Shade below for y< or y≤
remember to get y alone first!

6. Work Together
2-8 Practice Sheet