Linear Inequalities in the Plane - 0

Goal: Get familiar with the graph of a linear inequality in 2 variables - a region in the plane bounded by a solid or dashed line.

1. In the input box below, type or paste in a linear inequality in 2 variables x and y. Hit Enter and view the resulting region in the plane.
You can type <= for  and  >= for .

Linear Inequality:

(Samples: 3x+2y>=1, y>4x/5-11/5, 0.2x-0.5y≤2, ...)

2. To change the view, click on the Move tool and then click and drag the graph as desired.

• Note whether the line is solid or dashed depends on whether "equality" is included in the inequality.

3. Find the coordinates of any point in the shaded region and substitute its coordinates into the inequality. The inequality should be "true".

4. Find the coordinates of any point NOT in the shaded region and substitute its coordinates into the inequality. The inequality should be "false".

• To start over, enter a new inequality and hit Enter.

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