Polynomial Inequalities Quiz

Solve the inequality: x^2 - 5x + 6 > 0

• x < 2 or x > 3

• x > 2 or x < 3

• x < 2 and x > 3

• x < 2 or x > 3

Find the solution set for the inequality: 2x^3 - 7x^2 + 3x - 2 < 0

• (-1, 1/2]

• (-∞, -1) U (1/2, ∞)

• (-∞, -1] U [1/2, ∞)

• (-1, 1/2)

Determine the values of x that satisfy the inequality: 3x^2 + 4x - 5 ≥ 0

Solve the inequality: x^3 - 2x^2 + x - 1 ≤ 0

• x ≥ 1

• x > 1

• x ≤ 1

• x < 1

Find the solution set for the inequality: 4x^2 - 9 > 0

• x < -3/2 or x > 3/2

• x < -3/2 and x > 3/2

• x > -3/2 or x < 3/2

• x < -3/2 or x > 3/2

Determine the values of x that satisfy the inequality: 2x^3 + 5x^2 - 3x + 1 < 0

• x > -2.5 or x < -0.2 or x > 0.4

• x < -2.5 or x > -0.2 or x > 0.4

• x < -2.5 or x < -0.2 or x > 0.4

• x < -2.5 or x > -0.2 or x < 0.4

Solve the inequality: x^4 - 16x^2 + 63 > 0

• x ∈ (-∞, -√7) U (-3, √7) U (3, ∞)

• x ∈ (-∞, -√7) U (-3, √7) U [3, ∞) U (-√7, √7)

• x ∈ (-∞, -√7) U (-3, √7) U [3, ∞)

• x ∈ (-∞, -√7) U (-3, √7) U (3, ∞)

Find the solution set for the inequality: 3x^3 - 10x^2 + 8x - 2 ≥ 0

• x ≤ 1/3 or x > 1/2

• x ≤ 1/3 or x ≥ 1

• x ≤ 1/3 or x > 1

• x ≤ 1/3 or x > 2

Determine the values of x that satisfy the inequality: 2x^2 - 5x + 2 ≤ 0

• x ≤ 1/2 or x ≥ 3

• x ≤ 1/2 or x ≥ 1

• x ≤ 1/2 or x ≥ 4

• x ≤ 1/2 or x ≥ 2

Solve the inequality: x^3 - 4x^2 + 4x - 1 > 0

• x > 1

• x > 0

• x = 1

• x < 1