Testing Inequalities and Critical Numbers

The video tutorial explains how to solve a quadratic inequality by factoring and identifying critical numbers. It involves testing values in different intervals to determine where the inequality holds true. The final solution is presented as an interval where the inequality is satisfied.

What is the first step in solving a quadratic inequality?

• Using the quadratic formula

• Solving for x

• Factoring the inequality

• Graphing the inequality

What are the critical numbers in the inequality discussed?

• -3 and 4

• -4 and 3

• 3 and -4

• 4 and -3

What should you do after identifying the critical numbers?

• Test values around the critical numbers

• Graph the inequality

• Use the quadratic formula

• Solve for x

What is the result when testing a number less than -3?

• The inequality does not hold

• The result is zero

• The result is undefined

• The inequality holds true

Which number is tested between -3 and 4?

• 2

• -1

• 1

• 0

What is the result when testing a number between -3 and 4?

• The result is zero

• The inequality does not hold

• The result is undefined

• The inequality holds true

What number is tested on the right side of 4?

• 3

• 7

• 6

• 5

What is the result when testing a number greater than 4?

• The result is undefined

• The result is zero

• The inequality does not hold

• The inequality holds true

What is the final solution to the inequality?

• x > 4

• -3 < x < 4

• x < -3

• x = 0

How can the final solution be rewritten?

• x = 0

• -3 < x < 4

• x > 4

• x < -3