Algebra II Recipe: Linear Inequalities in Two Variables
A. Determining if an Ordered Pair is a Solution
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.
Examples:
 Given 2x + 3y ≥ 5. Is (0,1) a solution?
 Given 2x + 3y ≥ 5. Is (4,-1) a solution?
 Given 2x + 3y ≥ 5. Is (2,1) a solution?
B. Graphing Linear Inequalities
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.
Examples:
 Graph the following inequality. 9x - 3y ≤ 15
 Graph the following inequality. 4x + 12y > 15

G Redden

Show Related AlgebraLab Documents

AlgebraLAB
Project Manager
Catharine H. Colwell
Application Programmers
Jeremy R. Blawn
Mark Acton