7.4 Notes - Linear_Inequalities_in_Two_Variables

7.4 Notes - Linear_Inequalities_in_Two_Variables - If the...

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Linear Inequalities in Two Variables Determining whether an ordered pair is a solution to a linear inequality in 2 variables: Plug the x value in for the x Plug the y value in for the y If the resulting statement is true , the ordered pair is a solution. If the resulting statement is false , the ordered pair is not a solution. To graph a linear inequality: Temporarily replace your inequality sign with an =. Solve for y so that you have the equation of the line in the form y = mx + b Prepare to graph the line but WAIT! If extra ink was used for an equal sign under the arrow, your line will be solid. No extra ink for equal sign means a dashed line. Graph the line – solid or dashed.
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Unformatted text preview: If the arrow is “ greater than ” (points right), shade the area above the line. If the arrow is “ less than ” (points left), shade the area below the line. Pick an easy test point . (0, 0) is usually a good choice unless it’s on the line. Substitute the coordinates of the test point into the original inequality. If you get a true statement, the test point should be in the shaded area. If you get a false statement, the test point should be in the unshaded area. Doing these in MyMathLab is fun! After you graph a solid or dashed line using the line tool, grab your paint bucket and dump it in the shaded area....
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