Nonlinear Systems and Quadratic Inequalities

Identify the solutions to the system of quadratic inequalities. Select all that apply.

• {(0, 1)}

• {(1, 0)}

• {(-1, 0)}

• {(0, -1)}

What are the solutions to the nonlinear system?

• {(2, 0)}

• {(-2, 0), (2, 0)}

• {(0, -4), (0,4)}

• No Real Solution

Which inequality is shown?

• y< -x²

• y≤ -x²

• y> -x²

• y≥ -x²

2x² + 5x ≥ 12

• [-4, 3/2]

• (−∞, -4) U (3/2, ∞)

• (−∞, -4] U [3/2, ∞)

• no solution

3x - x² > 0

• (−∞, 0) U (3, ∞)

• (−∞, - 3) U (0, ∞)

• (-3, 0)

• (0, 3)

Which inequality is represented by the graph?

• y > -(x - 4)² + 1

• y > -(x - 1)² + 4

• y < (x - 4)² + 1

• y > (x + 4)² + 1

Identify the solutions to the system of inequalities. Select all that apply.

• (0, 0)

• (4, 0)

• (0, 4)

• (-2, 0)

2x² + 5x ≥ 12

• [-4, 3/2]

• (−∞, -4) U (3/2, ∞)

• (−∞, -4] U [3/2, ∞)

• no solution

Which inequality is represented by the graph?

• y > (x - 3)² - 3

• y ≥ (x + 3)² - 3

• y > (x + 3)² - 3

• y ≥ (x - 3)² - 3

3x - x² > 0

• (−∞, 0) U (3, ∞)

• (−∞, - 3) U (0, ∞)

• (-3, 0)

• (0, 3)