Solving and Graphing Quadratic Inequalities

Why do we need to multiply the quadratic inequality by a negative sign?

• To simplify the equation

• To make the leading coefficient positive

• To eliminate the constant term

• To make the leading coefficient negative

What happens to the inequality symbol when you multiply the inequality by a negative sign?

• It remains the same

• It reverses direction

• It becomes an equal sign

• It disappears

Which method is suggested as the easiest for solving the quadratic equation?

• Factoring

• Using the quadratic formula

• Graphing

• Completing the square

What are the x-values obtained after solving the quadratic equation?

• x = 1 and x = -6

• x = 1/2 and x = -6

• x = -1/2 and x = 6

• x = -1 and x = 6

What type of circle is used on the graph for the inequality symbol?

• Closed circle

• Half-filled circle

• Open circle

• No circle

Where is the point -1/2 located on the real number line?

• Between 0 and 1

• Between -1 and 0

• Between 1 and 2

• Between -1 and -2

What does the less than symbol in the inequality indicate about the solution?

• It is above the x-axis

• It is below the x-axis

• It is not on the graph

• It is on the x-axis

Why is the solution of the inequality between the x-values -1/2 and 6?

• Because the inequality is not defined

• Because the inequality is less than

• Because the inequality is greater than

• Because the inequality is equal to

How is the solution expressed in set notation?

• x such that -1/2 < x < 6

• x < -1/2 and x > 6

• x > -1/2 and x < 6

• x = -1/2 and x = 6

How is the solution expressed in interval notation?

• (-1/2, 6]

• (-1/2, 6)

• [1/2, 6)

• [-1/2, 6]