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Graphing Linear Inequalities

Graphing Linear Inequalities

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Author: Jiawei Liu
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A-REI

12. Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of corresponding half-planes.

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Tutorial

Starting

Graphing a system of inequalities has a two step.

1. We need to graph the inequalities as lines.

2. We need to shade the region represented by the inequalities.

Review how to graph lines in slope-intercept form in Video 1

Learn how to graph a single inequality in Video 2

Put it all together and graph a system of inequalities in Video 3


Video 1

How to graph a line in slope-intercept form.

Video 2

How to graph a two variable linear inequality in the coordinate plane.

Video 3

How to graph a system of inequalities

Big Question

Graph the following system of inequalities:

3x+5y>4

5x-2y>3

Do this on graph paper and turn it in tomorrow