How to solve and graph an absolute value inequality

The video tutorial explains how to solve absolute value inequalities by creating compound inequalities. It covers the steps to solve these inequalities and graph the solutions on a number line. The tutorial also discusses testing solutions to ensure accuracy and concludes with a summary of the process.

What is the first step in solving an absolute value inequality?

• Create two separate inequalities

• Graph the inequality on a number line

• Multiply both sides by a negative number

• Add a constant to both sides

When solving the inequality |X + 3| > 9, what are the two inequalities you form?

• X + 3 > 9 and X + 3 < 9

• X + 3 > 9 and X + 3 < -9

• X + 3 > -9 and X + 3 < 9

• X + 3 < 9 and X + 3 > -9

What is the result of solving the inequality X + 3 > 9?

• X > 6

• X < 6

• X > -6

• X < -6

How do you represent a solution that is not included in the solution set on a number line?

• With a shaded region

• With an open dot

• With a dashed line

• With a closed dot

What does it mean if a test value makes the inequality true when graphing?

• The inequality needs to be solved again

• The dot should be closed

• The region should be shaded

• The test value is incorrect