Graphing Linear Inequalities

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

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

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

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

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

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?