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6.11: Linear Inequalities in Two Variables

Difficulty Level: Basic Created by: CK-12
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Vocabulary

boundary line

The boundary line is an equation (y=mx+b) that creates two half planes.

half plane

When a linear equation is graphed in a coordinate plane, the line splits the plane into two pieces. Each piece is called a half plane.

solution set

All ordered pairs that could be solutions to an inequality, which are shown graphically by shading, or coloring, the half plane that includes the appropriate solutions.

Cartesian Plane

The Cartesian plane is a grid formed by a horizontal number line and a vertical number line that cross at the (0, 0) point, called the origin.

Linear Inequality

Linear inequalities are inequalities that can be written in one of the following four forms: ax + b > c, ax + b < c, ax + b \ge c, or ax + b \le c.

Slope-Intercept Form

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.

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