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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.
ExamplesExamples:
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.
  6. Shade
ExamplesExamples:
Graph the following inequality. 9x - 3y ≤ 15
Graph the following inequality. 4x + 12y > 15



G Redden

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