Solve and graph a simple absolute value inequality

The video tutorial explains how to factor absolute value inequalities by creating two cases, which form a compound inequality. It covers the process of determining when to use 'or' in inequalities and how to graph these inequalities on a number line. The tutorial emphasizes understanding the conditions for greater than and less than scenarios and provides a step-by-step guide to graphing the solution.

What is the first step in solving an absolute value inequality where the absolute value is greater than a term?

• Create two cases using 'or'

• Graph the inequality

• Solve for zero

• Create a single equation

When dividing by a negative number in an inequality, what must you remember to do?

• Subtract the number from both sides

• Multiply by zero

• Add the same number to both sides

• Flip the inequality sign

Why do we create two cases when solving an absolute value inequality?

• To simplify the equation

• To account for both positive and negative scenarios

• To eliminate variables

• To find the exact solution

In graphing a compound inequality, what does shading to the right of a number indicate?

• Values equal to the number

• Values less than the number

• Values greater than the number

• Values not equal to the number

What does it mean if a section of the number line is not shaded in a compound inequality graph?

• The values are equal to zero

• The values are undefined

• The values are included in the solution

• The values are not part of the solution