Algebra II Recipe: Linear Inequalities in Two Variables

1. Substitute the "x" and "y" value into the inequality.
2. Do all operations on each side until a true or false statement can be determined.
3. If the final statement is a true statement, the ordered pair is a solution.
4. If the final statement is a false statement, the ordered pair is NOT a solution.

1. Solve the inequality for "y" (to look like y=mx+b).
2. Determine the slope and y-intercept.
3. Graph the y-intercept.
4. Use the movement from slope to get additional points for the boundary.
5. Connect the points.
• Solid line - if the solution has ≥ or ≤.
• Broken line - if the solution has > or <.
6. Shade
• Above the boundary line - if the solution has > or ≥.
• Below the boundary line - if the solution has < or ≤.