How to solve a absolute value inequality

The video tutorial explains how to solve absolute value inequalities by creating two cases or equations. It covers basic examples with numbers and variables, introduces compound inequalities, and demonstrates graphing and solving these inequalities. The tutorial also emphasizes the importance of isolating absolute values before setting up cases, using inverse operations to simplify expressions.

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

• Create a single equation

• Create two cases

• Graph the inequality

• Isolate the variable

When dealing with a 'less than' absolute value inequality, what type of compound inequality is formed?

• An 'or' inequality

• A 'not equal to' inequality

• An 'and' inequality

• A 'greater than' inequality

In a 'greater than' absolute value inequality, what happens to the inequality sign when creating the second case?

• It remains the same

• It is reversed

• It is doubled

• It is removed

What is the result of dividing both sides of an inequality by a negative number?

• The inequality sign remains unchanged

• The inequality sign is reversed

• The inequality becomes an equation

• The inequality is invalid

What must be done before setting up cases for a complex absolute value inequality?

• Multiply all terms

• Add all terms

• Isolate the absolute value

• Graph the inequality