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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 x
2
+ y = 4 is a circle of radius 2.
A)
TRUE
B)
FALSE
2
The graph of x
2
+ 9y
2
= 9 is an ellipse.
A)
TRUE
B)
FALSE
3
The graph of y
2
= x
2
+ 1 is a hyperbola.
A)
TRUE
B)
FALSE
4
The point (0, 0) satisfies the inequality 2x
2
- y < 3.
A)
TRUE
B)
FALSE
5
The graph of the inequality y > x
2
- 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 x
2
+ 3x + y
2
+ 8y + 3 < 0 includes the origin.
A)
TRUE
B)
FALSE
8
The graph of x
2
+ y
2
< 4 is the region inside a circle of radius 2.
A)
TRUE
B)
FALSE
9
The point (0, 4) satisfies x
2
- y
2
< 1 and y > x
2
- 2x + 3.
A)
TRUE
B)
FALSE
10
The point (0, 0) satisfies x
2
+ y
2
< 1 and y < x
2
+ 1.
A)
TRUE
B)
FALSE
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