1

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Review the graph.

A

x2 + y2 ≤ 9 and x ≥ –y2 + 1

B

x2 + y2 ≥ 9 and x ≥ –y2 + 1

C

x2 + y2 ≤ 9 and x ≥ y2 + 1

D

x2 + y2 ≥ 9 and x ≥ y2 + 1

2

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Which graph represents the solution of < 1 and y ≤?

A

On a coordinate plane, an ellipse has center (3, negative 2) and goes through (3, 0), (6, negative 2), (3, negative 4), and (0, negative 2). A curve starts at (1, negative 4) and goes up through (2, negative 3) and (11, negative 1). Everything inside of the ellipse and below the curve is shaded.

B

On a coordinate plane, an ellipse has center (3, negative 2) and goes through (3, 0), (6, negative 2), (3, negative 4), and (0, negative 2). A curve starts at (1, negative 4) and goes up through (2, negative 3) and (11, negative 1). Everything inside of the ellipse and above the curve is shaded.

C

On a coordinate plane, an ellipse has center (3, negative 2) and goes through (3, 1), (5.5, negative 2), (3, negative 5), and (0.5, negative 2). A curve starts at (1, negative 4) and goes up through (2, negative 3) and (11, negative 1). Everything inside of the ellipse and below the curve is shaded.

D

On a coordinate plane, an ellipse has center (3, negative 2) and goes through (3, 1), (5.5, negative 2), (3, negative 5), and (0.5, negative 2). A curve starts at (1, negative 4) and goes up through (2, negative 3) and (11, negative 1). Everything inside of the ellipse and above the curve is shaded.

3

Angela lives in a remote area serviced by only two cell phone towers. Tower 1 is located 5 miles west and 2 miles south of her home and transmits a signal for 12 miles. Tower 2 is located 8 miles east and 7 miles north of her home and transmits a signal for 10 miles. Consider the location of Angela’s house to be (0, 0) on a coordinate grid. The system of inequalities represents this scenario.

A

Angela will not have any cell phone service.

B

Angela will have cell phone service from tower 1 only.

C

Angela will have cell phone service from tower 2 only.

D

Angela will have cell phone service from both towers.

4

Which point is a solution to the system x2 + y2 ≤ 25 and x < y2 – 2?

A

(–5, 0)

B

(–2, 0)

C

(5, 0)

D

(2, 2)

Systems of Inequalities Answers

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