Graph each inequality. y ≥0

Name: Problem 12, Chapter 10: Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry
Uploaded: 2020-06-16T20:57:09-08:00
Duration: 46 s
Channel: Vicki Stebbins
Description: Graph each inequality. y ≥0

Key Concepts

Boundary Line

The boundary line is the line drawn on the graph that represents the equality condition of an inequality. If the inequality includes equality (for example, ? or ?), the boundary line is drawn solid to indicate that points on the line are included in the solution set.

Inequalities

Inequalities compare expressions using symbols such as >, ?, <, and ?, indicating relative sizes rather than exact equality. They allow us to define sets of numbers or values that satisfy the given condition and are foundational for understanding solution sets in algebra.

Graphing Inequalities

Graphing inequalities involves representing the set of solutions on a coordinate plane, using a boundary line to denote where the equality holds and shading to indicate the region where the inequality is true. This visual approach helps in understanding the range and limitations imposed by the inequality.

Coordinate Plane

The coordinate plane is a two-dimensional plane defined by a horizontal axis (x-axis) and a vertical axis (y-axis). It serves as the framework for graphing algebraic equations and inequalities, allowing for a visual representation of the relationships between variables.

Half-plane Shading

Half-plane shading refers to the technique of shading the region of the coordinate plane that satisfies the inequality. This method clearly illustrates which side of the boundary line contains all the points that make the inequality true, making it easier to visualize the solution set.

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