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2.6 Linear Inequalities in Two Variables A Linear Inequality in two variables is an inequality that can be written in one of the following forms: Ax +

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Presentation on theme: "2.6 Linear Inequalities in Two Variables A Linear Inequality in two variables is an inequality that can be written in one of the following forms: Ax +"— Presentation transcript:

1 2.6 Linear Inequalities in Two Variables A Linear Inequality in two variables is an inequality that can be written in one of the following forms: Ax + By C, Ax + By > C

2 An ordered pair (x, y) is a solution of a linear inequality if the inequality is true when the values of x and y are substituted into the inequality.

3 Graphing a Linear Inequality Step 1: Graph the boundary line of the inequality. Use a dashed line for and a solid line for. Step 2: To decide which side of the boundary line to shade, test a point not on the boundary line to see whether it is a solution of the inequality. Then shade the appropriate half-plane.

4 Jana has relatives in both the United States and Mexico. She is given a prepaid phone card worth $50. Calls within the continental U.S. cost $0.16 per minute and calls to Mexico cost $0.44 per minute. A.) Write a linear inequality to represent the number of minutes you can use for calls within the U.S. and for Mexico. B.) Graph the inequalities.


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