Quadratic Inequalities Quiz

Which of the following represents a quadratic inequality?

• x² + 5x + 6 = 0

• 2x² - 3x + 1 < 0

• 3x + 2 = 7

• y = 2x + 3

Solve the inequality: x² - 9 < 0.

• -3 < x < 3

• x < -3 or x > 3

• x > -3

• x < 3

The solution set of x² + 4x + 4 ≥ 0 is:

• All real numbers

• x = -2 only

• x ≤ -2

• x ≥ -2

Solve 2x² - 8 ≤ 0.

• -2 ≤ x ≤ 2

• x ≤ -2 or x ≥ 2

• x = ±2

• All real numbers

Which inequality is represented by the graph of a parabola opening upward with shaded region above the curve?

• y > ax² + bx + c

• y < ax² + bx + c

• y ≤ ax² + bx + c

• y = ax² + bx + c

The solution set of (x - 1)(x + 3) > 0 is:

• x < -3 or x > 1

• -3 < x < 1

• x > -3

• x < 1

Solve x² ≥ 16.

• -4 ≤ x ≤ 4

• x ≤ -4 or x ≥ 4

• x = ±4

• All real numbers

If the roots of x² - 2x - 3 < 0 are -1 and 3, then the solution set is:

• -1 < x < 3

• x < -1 or x > 3

• x = -1, 3

• All real numbers

The graph of y ≤ (x + 2)² is shaded:

• Above the parabola

• Below the parabola

• Left of parabola

• Right of parabola

Solve x² - 5x + 6 > 0.

• x < 2 or x > 3

• 2 < x < 3

• x = 2, 3

• All real numbers