2.1.5 Linear Inequalities in Two Variables
Key Objectives • Graph linear inequalities on the coordinate plane using various methods. Key Terms • A linear inequality is a linear relation between two variables using an inequality symbol. •A boundary line is the set of points where the two sides of a two-variable linear inequality are equal. A linear inequality in two variables relates two variables using an inequality symbol, such as y > 2 x − 4. Its graph is the region of the coordinate plane bounded by a line, called a boundary line, which divides the coordinate plane into two regions. The boundary line is solid when the inequality symbol is ≤ or ≥ and dashed when the inequality symbol is < or > . Example 1 Graphing Linear Inequalities If the equation of a boundary line for a linear inequality is in slope-intercept form and the inequality is
• > or ≥ , then shade the region above the line. • < or ≤ , then shade the region below the line.
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