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Graphing Linear Inequalities in Two Variables Word Problems ... - Free Printable

Graphing Linear Inequalities in Two Variables Word Problems ...

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Show Answer Key & Explanations Step-by-step solution for: Graphing Linear Inequalities in Two Variables Word Problems ...
1. Identify the inequality: y > 2x - 3.
2. Graph the boundary line: Plot the line y = 2x - 3 using a dashed line because the inequality is strict (>). The y-intercept is (0, -3), and the slope is 2.
3. Test a point: Use the origin (0, 0). Substitute into the inequality: 0 > 2(0) - 3 → 0 > -3. This is true, so shade the region containing (0, 0).
4. Shade the correct half-plane: Shade above the dashed line since the test point (0, 0) satisfies the inequality and lies above the line.
Parent Tip: Review the logic above to help your child master the concept of graphing linear equations and inequalities worksheet.
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