Graphing a Two Variable Inequality. Examining the Solutions of a Linear Equation Are the following points solutions to the equation y = -2x + 3 ? Justify.

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Graphing a Two Variable Inequality

Examining the Solutions of a Linear Equation Are the following points solutions to the equation y = -2x + 3 ? Justify each conclusion with both the graph and the equation? a. (-1,5) b1. (2,-1) b2. (0,0) Yes. No. The points on the line make the equation true.

There are an infinite number of points that satisfy the inequality.

Graphing an Inequality In order to find the points that satisfy an inequality statement: 1. Find the boundary 2. Test every region to find which one(s) satisfies the original statement

Graphing a 2 Variable Inequality (0,0) Graphically represent the solutions to the following inequality: Find the Boundary Plot points for the equality Test Every Region (3,0) 0 > -3 0 > 1.5 True False Solid or Dashed? Pick a point in each region Substitute into Original Shade True Region(s)

Graphing a 2 Variable Inequality (0,0) Graphically represent the solutions to the following inequality: Find the Boundary Plot points for the equality Test Every Region (-4,0) 0 ≤ 6 8 ≤ 6 True False Solid or Dashed? Pick a point in each region Substitute into Original Shade True Region(s)

(0,0) Graphically represent the solutions to the following inequality: Find the Boundary Plot points for the equality Test Every Region (0,3) 0 > 2 3 > 2 False True Solid or Dashed? Pick a point in each region Substitute into Original Shade True Region(s) Open or Closed Dots? Graphing a 1 Variable Inequality in 2-Dimensions

Graphing a 2 Variable Inequality (0,0) Graphically represent the solutions to the following inequality: Find the Boundary Plot points for the equality Test Every Region (0,5) 0 < 3 5 < 3 True False Solid or Dashed? Pick a point in each region Substitute into Original Shade True Region(s)

Graphing a 2 Variable Inequality (0,0) Graphically represent the solutions to the following inequality: Find the Boundary Plot points for the equality Test Every Region (0,2) 0 < 1 2 < 1 True False Solid or Dashed? Pick a point in each region Substitute into Original Shade True Region(s)