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Question : Graph the nonlinear inequality with restrictions : 2151782

**Graph the nonlinear inequality with restrictions.**

1) 4x^{2} + 9y^{2} ≥ 36, x ≥ 0, y ≤ 0

A)

B)

C)

D)

2) y^{2} - x^{2} < 16, y < 0

A)

B)

C)

D)

**Which system of inequalities matches the given calculator-generated graph?**

3)

A) y > x^{2}

y > -2

B) y > x^{2}

y < -2

C) y < x^{2}

y > -2

D) y < x^{2}

y < -2

4)

A) y < x^{2} - 4

y > 3

B) y > x^{2} - 4

y > 3

C) y < x^{2} - 4

y < 3

D) y > x^{2} - 4

y < 3

5)

A) y > - x^{2} + 5

y > 2

B) y < - x^{2} + 5

y < 2

C) y > - x^{2} + 5

y < 2

D) y < - x^{2} + 5

y > 2

6)

A) y < - x^{2} + 2

y > 5

B) y < - x^{2} + 2

y < 5

C) y > - x^{2} + 2

y < 5

D) y > - x^{2} + 2

y > 5

7)

A) y < - x^{2} - 1

y > -4

B) y > - x^{2} - 1

y < -4

C) y > - x^{2} - 1

y > -4

D) y < - x^{2} - 1

y < -4

**SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.**

**Provide an appropriate response.**

8) Describe the graph of the solution set of the following inequality:

y > x^{2} - 2

9) Describe the graph of the solution set of the following inequality:

y > -x^{2} + 2

10) Describe the graph of the solution set of the following inequality:

x > y^{2} + 6

11) Describe the graph of the solution set of the following inequality:

x > -y^{2} - 4

12) Describe the graph of the solution set of the following inequality:

16x^{2} - 25y^{2} > 49

**MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.**

13) Which one of the following is a description of the graph of the solution set for the system below?

x^{2} + y^{2} ≤ 36

4x^{2} + 9y^{2} ≥ 36

A) The area inside the ellipse (defined by the second equation) and outside the circle (defined by the first equation), including both borders.

B) The area inside the circle (defined by the first equation) and outside the ellipse (defined by the second equation), including both borders.

C) The area inside the ellipse (defined by the second equation), including the border.

D) None of these

14) Which one of the following is a description of the graph of the solution set for the system below?

x^{2} + y^{2} ≥ 36

4x^{2} + 9y^{2} ≥ 36

A) The area inside the ellipse (defined by the second equation), including the border.

B) The area outside the ellipse (defined by the second equation), including the border.

C) The area outside the circle (defined by the first equation), including the border.

D) None of these

15) Which one of the following is a description of the graph of the solution set for the system below?

x^{2} + y^{2} ≤ 36

4x^{2} + 9y^{2} ≤ 36

A) The area inside the circle (defined by the first equation) and outside the ellipse (defined by the second equation), including both borders.

B) The area inside the ellipse (defined by the second equation), including the border.

C) The area inside the ellipse (defined by the second equation) and outside the circle (defined by the first equation), including both borders.

D) None of these