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INSTRUCTORS Carleen Eaton Grant Fraser Eric Smith
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For more information, please see full course syllabus of Algebra 1
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Lecture Comments (1)

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Post by julius mogyorossy on August 25, 2011

I have learned here that some numbers in Algebraic equations are real are real, say 4 for instance, and some are not, I call these unreal numbers Unicorn numbers.

Techniques for Multi-Step Inequalities

  • To solve a multi-step inequality, use the same techniques that were discussed in the section on multi-step equations. For review, see the material given for that section.

  • If the inequality contains grouping symbols, use the distributive property to remove these symbols and simplify the inequality.

  • If the solution of an inequality leads to an inequality that is always true, the solution set of the original inequality is the set of all real numbers.

  • If the solution leads to an inequality that is never true, the solution set is the empty set.

Techniques for Multi-Step Inequalities

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

  • Intro 0:00
  • Similarity to Multi-step Equations 0:15
  • Inequalities Containing Grouping Symbols 1:03
  • Special Cases 1:26
    • Solution: All Real Numbers
    • Solution: Empty Set
  • Lecture Example 1 2:54
  • Lecture Example 2 4:37
  • Additional Example 3
  • Additional Example 4