How to solve a multi step absolute value inequality

The video tutorial demonstrates how to solve absolute value inequalities by isolating the absolute value, creating compound inequalities, and solving them using inverse operations. It also covers graphing the solution set with approximations, emphasizing the importance of understanding the range of solutions. The tutorial concludes with a summary of the steps involved in solving and graphing absolute value inequalities.

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

• Divide both sides by a constant

• Add a constant to both sides

• Isolate the absolute value expression

• Multiply both sides by a variable

When forming two cases for an absolute value inequality, what type of inequality is created?

• A linear inequality

• A compound inequality

• A quadratic inequality

• A simple inequality

What operation is used to solve a compound inequality after forming two cases?

• Addition

• Subtraction

• Inverse operations

• Multiplication

Why might values be rounded when graphing the solution of an inequality?

• To simplify calculations

• To approximate the position on the graph

• To make the graph more accurate

• To avoid dealing with decimals

What does an open dot on a number line represent in the context of graphing inequalities?

• The value is included in the solution set

• The value is a midpoint

• The value is excluded from the solution set

• The value is an approximation