step 1 We want to graph the inequality x squared plus y squared is greater than or equal to 16. This is

Graph x ≥16. | Numerade

Name: Problem 18, Chapter 7: Mathematics for Health Sciences: A Comprehensive Approach
Uploaded: 2021-08-25T18:34:13-08:00
Duration: 36 s
Channel: James Kiss
Description: Graph x ≥16.

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Key Concepts

Graphing Inequalities on the Coordinate Plane

This involves plotting the equality part of the inequality as a boundary (using a solid line for inclusive inequalities like ? or ?, and a dashed line for strict inequalities) and shading the region that represents the solution to the inequality. The shaded area indicates all the points that satisfy the condition.

Vertical Lines

Vertical lines are represented by equations of the form x = a, which indicate that the x-coordinate is constant for all points on the line. When an inequality involves a vertical line (e.g., x ? 16), it not only marks the boundary but also signifies that the solution comprises all points to the right or left of that line, depending on the inequality direction.

Inequalities

Inequalities express a relationship where one quantity is not strictly equal to another but is either greater than, less than, or equal to. They are fundamental in understanding how ranges of numbers satisfy given conditions and form the basis for solving and graphing problems that involve limitations on variables.

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