Question 1

Which of the following is an example of a quadratic inequality?

Accepted Answer

x^2 + 3x - 5 > 0

Answer

2x - 5 ≤ 10

Answer

3x + 7 = 0

Answer

x^2 - 4 = 0

Question 2

If the quadratic inequality x^2 - 5x + 6 ≤ 0 is solved, what is the solution set?

Accepted Answer

2 ≤ x ≤ 3

Answer

x < 2 or x > 3

Answer

x > 2 or x < 3

Answer

x ≠ 2, 3

Question 3

What does the solution of a quadratic inequality represent?

Accepted Answer

The solution represents the set of *x-values* for which the quadratic expression satisfies the inequality. These values correspond to regions above or below the x-axis on the graph.

Answer

The area of a geometric shape

Answer

The maximum values of the quadratic

Answer

The exact roots of the equation

Question 4

Which real-life scenario can be modeled using quadratic inequalities?

Accepted Answer

Determining the number of tickets sold for a profit range

Answer

Measuring the perimeter of a rectangle

Answer

Finding the maximum height of a thrown ball

Answer

Calculating simple interest in a bank account

Question 5

Why do we use test points when solving quadratic inequalities?

Accepted Answer

To determine which regions satisfy the inequality

Answer

To convert the inequality into an equation

Answer

To find the exact solutions of the equation

Answer

To check if the inequality is quadratic

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