# Inequality in 2 Variables - Graphing Region in Plane

 Definition: A linear inequality in 2 variables is a linear equation in 2 variables in which the "=" has been replaced by an inequality. Regulation: The solution set of a linear inequality is a region in the plane bounded by the line of the corresponding linear equation. (This set includes the points on the line only if inequality includes the equals sign, i.e. is not a strict inequality). Examples of linear inequalities in 2 variables: \bbox[border:1px #990000 dotted,1pt]{y>2x-3}   \bbox[border:1px #990000 dotted,1pt]{2y+5x \leq 2}   \bbox[border:1px green dotted,1pt]{3s<2t-2}
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 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 ≥ . (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.
Linear Inequality:
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