AnswersPrecalculusThe General Equation of Conic Sections

Systems of Inequalities Answers

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Which graph represents the solution set of the system y ≤ x2 – 1 and x > y2 – 6?

A
[Image: On a coordinate plane, a solid line parabola opens...]
Option A
B
[Image: On a coordinate plane, a solid line parabola opens...]
Option B
C
[Image: On a coordinate plane, a solid line parabola opens...]
Option C
D
[Image: On a coordinate plane, a solid line parabola opens...]
Option D
2
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Which graph represents ?

Question illustration
A
[Image: On a coordinate plane, an ellipse has center (nega...]
Option A
B
[Image: On a coordinate plane, an ellipse has center (nega...]
Option B
C
[Image: On a coordinate plane, an ellipse has center (nega...]
Option C
D
[Image: On a coordinate plane, an ellipse has center (nega...]
Option D
3

The graph shows the solution to which system of inequalities?

A
21 ≤ x2 + (y + 6)2 and 84 ≤ (x + 8)2 + y2
B
21 ≤ x2 + (y + 6)2 and 84 ≥ (x + 8)2 + y2
C
21 ≥ x2 + (y + 6)2 and 84 ≤ (x + 8)2 + y2
D
21 ≥ x2 + (y + 6)2 and 84 ≥ (x + 8)2 + y2
4

Which system has the solution set shown?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

Which describe the solution set of the given system? Check all that apply.

A
The solution set is unbounded.
B
The point (1, 0) is in the solution set.
C
There is one point of intersection of the boundary curves.
D
The boundaries of the overlapping region are in the solution set.
E
The boundary curves intersect at approximately(–3, 0).

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