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Graph each nonlinear inequality. See Examples $1-3$$$x^{2} \leq 16+4 y^{2}$$
Precalculus
Algebra
Chapter 13
Nonlinear Functions, Conic Sections, and Nonlinear Systems
Section 5
Second-Degree Inequalities and Systems of Inequalities
Introduction to Conic Sections
An Introduction to Geometry
Functions
Systems of Equations and Inequalities
Campbell University
McMaster University
Baylor University
Lectures
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in this question, we're trying to graph the inequality X squared plus y squared is greater than 16. We need to take the squared of 16 to find our key point, which would be four. That means we can put a point at four on each axes. Now we can connect them to make our circle. Our inequality tells us that X squared plus y squared is greater than 16. That means everything outside of the circle needs to be shaded. The circle itself needs to be a dashed line to represent the fact that it's not equal to 16.
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