Solving and Graphing Absolute Value Inequalities: Practice Problems


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question 1 of 3

Which of the following inequalities does not have a solution?

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Express the following absolute value inequality as two inequalities.

|x + 2| > 1

2. Which inequality represents the following graph?

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About This Quiz & Worksheet

The quiz is a collection of math problems. Most of these questions will present you with absolute value inequalities or with graphs of these inequalities. The questions will then ask you a host of different things. Some will require you to split the inequality. Others will ask you to match the equation with the graph.

Quiz & Worksheet Goals

The quiz will test you on the following:

  • Absolute value inequalities
  • Graphing absolute value inequalities
  • Solving absolute value inequalities
  • Closed dots on number lines

Skills Practiced

You will practice these skills:

  • Making connections - use understanding of the concept of graphing absolute value inequalities
  • Problem solving - use acquired knowledge to solve absolute value inequalities practice problems
  • Interpreting information - verify that you can read information regarding closed dots and interpret it correctly

Additional Learning

There is an accompanying lesson that will help you further master this information. The lesson Solving and Graphing Absolute Value Inequalities: Practice Problems covers the following objectives:

  • Understanding the difference between absolute value equations and inequalities
  • Graphing absolute value inequalities
  • Characterizing solutions of absolute value inequalities
  • Explaining how to solve absolute value inequalities