Solve Equations and Inequalities Quadratic

A statement that one mathematical expression is greater than, greater than or equal to, less than or less than or equal is called __________.

Which of the following is an example of quadratic inequality?

• 2x² + 3x + 4 > 0

• 15x ≤ 10

• x² - x +15 < -30

• x² + 4x - 5 = 0

Which of the following is the first step in solving quadratic inequality?

• Shade the interval on the number line that represents the solution of the quadratic inequality

• Plot the roots in a number line.

• Change the inequality symbol to equality symbol.

• Solve for the roots of the quadratic equation by factoring.

Which of the following is the correct interval of x² + 2x -24 > 0

• x > -6

• x > 4

• x < 4

• 4 < x < -6

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

• 5 < y < 12

• 7 < y < 10

• 8 < y < 9

• 6 < y < 11

Solve:
2x² + 5x ≥  12

• [-4, 1.5]

• (-oo, -4) U (1.5, oo)

• (-oo, -4] U [1.5, oo)

• no solution

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

Solve:  5x - 10x² < 0

• (0, ½)

• [0, ½]

• (-oo, 0) U (½, oo)

• (- ½ , 0)

What is the solution set to the inequality x² - 4x - 5 > 0

• x < -1 or x > 5

• x < -5 or x > 1

• -1 < x < 5

• -5 < x < 1