Texas Tech University

Section 2-4: Solving Multi-Step Inequalities (pages 67-72)


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Section 2-4: Solving Multi-Step Inequalities (pages 67-72)

Understanding Mathematical Terms

Refer to the English-Spanish Glossary, which starts on textbook page A39, if you need help with a definition or finding a textbook page with an example for a vocabulary word.

Summary

You solve multi-step inequalities the same way you solve multi-step equations. You only need to remember to change the direction of the inequality symbol when you multiply or divide by a negative quantity. Just like linear equations, inequalities may have no solution or a solution of all real numbers.

Section 2-4 Lesson (pages 68-70)

Read and work through Examples 1 through 4. Practice with the Monitoring Progress problems as you go, and then check your answers below.

Answers to Monitoring Progress (pages 68-70)
  1. b < 2
    time line
  2. c ≤ 4
    time line
  3. n < –2
    time line
  4. v ≥ –3
    time line
  5. x ≤ 4
  6. all real numbers
  7. no solution
  8. a ≤ 2
  9. a score of at least 73