Solving Quadratic Inequalities Algebraically

2x² + 5x ≥ 12

• [-4, 1.5]

• (−∞, -4) U (1.5, ∞)

• (−∞, -4] U [1.5, ∞)

• no solution

The discriminant is

• ax²  + bx  +  c

• b - 4ac

• b² - 4ac

• b² + 4ac

• (-2,6)

• [-2,6]

• (-6, 2)

• [-6, 2)

Which of the following is the solution of the given Quadratic Inequality?

• b ≥ -2 or b ≤ -1

• b ≤ -2 or b ≥ -1

• b ≥ 2 or b ≤ 1

• b ≤ 2 or b ≥ 1

Which of the following is the solution of the given Quadratic Inequality?

• x > 14 or x < -8

• x < 14 or x > -8

• x > -14 or x < 8

• x < -14 or x > 8

Which of the following is the solution of the given Quadratic Inequality?

• 2 ≤ a ≤ 6

• 2 ≥ a ≥ 6

• -2 ≤ a ≤ -6

• -2 ≥ a ≥ -6

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Which of the following is the solution of the given Quadratic Inequality?

• -4 < a < 2

• -4 < a < -2

• 4 > a > 2

• 4 > a > -2

Which of the following is the solution of the given Quadratic Inequality?

• -4 ≤ d ≤ -3/2

• 3/2 ≤ d ≤ 4

• -4 ≤ d ≤ 3/2

• 4 ≥ d ≥ 3/2

• {x| x < -6 or x > 3}

• {x| x < -4 or x > 5}

• {x| x < -3 or x > 6}

• {x| x < -5 or x > 4}