Solving Quadratic Inequalities Using the Quadratic Formula

What is the first step in solving the inequality 4X^2 - 5X - 6 > 0?

• Apply the binomial theorem

• Use the Pythagorean theorem

• Identify the inequality as quadratic

• Identify the inequality as linear

What are the coefficients a, b, and c in the quadratic equation 4X^2 - 5X - 6 = 0?

• a = -4, b = 5, c = -6

• a = 4, b = -5, c = -6

• a = 4, b = -5, c = 6

• a = 4, b = 5, c = 6

Which formula is used to find the roots of a quadratic equation?

• Quadratic formula

• Pythagorean theorem

• Factorial formula

• Binomial theorem

What are the roots of the equation 4X^2 - 5X - 6 = 0?

• X = 0 and X = -1

• X = 3 and X = -2/4

• X = 2 and X = -3/4

• X = 1 and X = -1/2

In the context of the inequality, what does the root X = 2 represent?

• X is equal to 2

• X is greater than 2

• X is less than 2

• X is not related to 2

What does the graph of the inequality 4X^2 - 5X - 6 > 0 look like?

• A parabola opening downwards

• A parabola opening upwards

• A circle

• A straight line

What is the solution set for the inequality 4X^2 - 5X - 6 > 0?

• X > -3/4 and X < 2

• X < -3/4 or X > 2

• X = -3/4 or X = 2

• X < -2 or X > 3/4