1. Graphing Linear Inequalities

2. When graphing inequalities…
SOLVE FOR Y FIRST! (with y on the left)
Once you have the inequality in Slope-Intercept Form,
Graph the “line” using the slope and y-intercept.
The line is a SOLID border if the inequality includes “=“
The line is a DOTTED border if the inequality is strictly < or >
SHADING (for all but vertical lines)
Go to the y-intercept.
If the inequality is >, shade above the line
If the inequality is <, shade below the line
If you are ever unsure, pick a point, plug it in and test it

3. Example – Graph the inequality
Equal to – Solid Line
Greater Than - Above

4. Example – Graph the inequality
Not Equal to – Dotted Line
Less Than - Below

5. Example – Graph the inequality
Not Equal to – Dotted Line
Less Than - Below

6. Example – Graph the inequality (special cases)
Equal to – Solid Line
Greater Than - Above

7. Example – Graph the inequality (special cases)
1. Solid or Dotted ?
2. There is no above or below.
We are comparing x-values.
So, we shade to the side…
LEFT or RIGHT?