Question

Graph the solution set of each inequality. $$-2 x+y \geq-4$$

   Graph the solution set of each inequality.
$$-2 x+y \geq-4$$

Precalculus : Building Concepts and Connections

Precalculus : Building Concepts and Connections

Revathi Narasimhan 1st Edition

Chapter 8, Problem 45

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Solved by Expert Vipender Yadav

04/20/2020

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Graph the solution set of each inequality. $$-2 x+y \geq-4$$

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Key Concepts

Test Point Method

The test point method involves selecting a point not on the boundary line and substituting its coordinates into the inequality to determine which side of the line satisfies the inequality. This helps identify the correct region of the graph that represents the solution set.

Graphing Linear Inequalities

Graphing linear inequalities involves plotting the regions of the coordinate plane that satisfy an inequality. This subject focuses on the relationship between algebraic expressions and their graphical representations, where each inequality defines a half-plane relative to its boundary line.

Slope-Intercept Form

The slope-intercept form (y = mx + b) is a way to express a linear equation that clearly reveals the slope and the y-intercept. Converting an inequality to this form facilitates graphing by directly providing the line's direction and point of intersection with the y-axis.

Boundary Line

The boundary line represents the equality part of an inequality. It is drawn as a solid line if the inequality is inclusive (? or ?) and as a dashed line if the inequality is strict ( > or <), indicating whether points on the line are included in the solution set.

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