Learn how to solve an graph an absolute value inequality

The video tutorial explains how to solve and graph absolute value inequalities by setting up compound inequalities. It demonstrates the process of creating a compound inequality and graphing it on a number line, including shading the solution area. The tutorial provides a step-by-step guide to ensure understanding of the concept.

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

• Set up two separate cases

• Graph the inequality on a number line

• Multiply both sides by -1

• Find the absolute value of each side

When creating a compound inequality, what does the inequality -6 ≤ X ≤ 6 represent?

• X is less than -6

• X is greater than 6

• X is between -6 and 6, inclusive

• X is equal to 0

How do you determine which part of the number line to shade when graphing the inequality -6 ≤ X ≤ 6?

• Shade the region between -6 and 6, including the endpoints

• Shade all numbers less than -6

• Shade all numbers greater than 6

• Shade only the points -6 and 6

What does it mean when both endpoints of the inequality are shaded on the number line?

• The solution is only the endpoints

• The solution is all real numbers

• The endpoints are included in the solution

• The endpoints are not part of the solution

Which of the following is a correct representation of a compound inequality?

• -6 < X < 6

• -6 ≤ X ≤ 6

• X = 0

• X > 6 or X < -6