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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University

Nonlinear Systems and the Conic Sections
Second-Degree Inequalities

Warm-Ups



1

The graph of x2 + y = 4 is a circle of radius 2.
A)TRUE
B)FALSE
2

The graph of x2 + 9y2 = 9 is an ellipse.
A)TRUE
B)FALSE
3

The graph of y2 = x2 + 1 is a hyperbola.
A)TRUE
B)FALSE
4

The point (0, 0) satisfies the inequality 2x2 - y < 3.
A)TRUE
B)FALSE
5

The graph of the inequality y > x2 - 3x + 2 contains the origin.
A)TRUE
B)FALSE
6

The origin should be used as a test point for graphing x2 > y.
A)TRUE
B)FALSE
7

The solution set to x2 + 3x + y2 + 8y + 3 < 0 includes the origin.
A)TRUE
B)FALSE
8

The graph of x2 + y2 < 4 is the region inside a circle of radius 2.
A)TRUE
B)FALSE
9

The point (0, 4) satisfies x2 - y2 < 1 and y > x2 - 2x + 3.
A)TRUE
B)FALSE
10

The point (0, 0) satisfies x2 + y2 < 1 and y < x2 + 1.
A)TRUE
B)FALSE