Quadratic Inequality Quiz

What is the first step in solving a quadratic inequality?

• Finding the vertex

• Transforming it into a quadratic equation

• Graphing the inequality

• Using the quadratic formula

What is the inequality form of the example problem discussed?

• x^2 - x - 12 ≤ 0

• x^2 - x - 12 > 0

• x^2 - x - 12 = 0

• x^2 - x - 12 < 0

How do you find the critical points of a quadratic equation?

• By graphing the equation

• By using the quadratic formula

• By factoring the equation

• By completing the square

What are the critical points found in the example?

• x = -4 and x = 3

• x = 0 and x = 4

• x = 3 and x = -4

• x = -3 and x = 4

What is the purpose of plotting critical points on a number line?

• To graph the inequality

• To find the vertex

• To determine the intervals for testing

• To solve the equation

Which interval was tested first in the example?

• Between -3 and 4

• Less than -3

• Between 0 and 3

• Greater than 4

What does it mean if an interval does not satisfy the inequality?

• The interval is the axis of symmetry

• The interval is the vertex

• The interval is not a solution

• The interval is a solution

What was the result of testing the interval between -3 and 4?

• Infinite solutions

• No solution

• False statement

• True statement

How are solutions expressed in interval notation?

• Using equal signs for solutions

• Using brackets for included points

• Using parentheses for excluded points

• Using arrows for direction

What is the final solution set in interval notation?

• (-3, 4)

• (-∞, -4) ∪ (3, ∞)

• (-∞, -3) ∪ (4, ∞)

• (-∞, 4) ∪ (3, ∞)