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For more information, please see full course syllabus of Algebra 1

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Lecture Comments (2)

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Post by Sean Shepard on September 13, 2011

what if you have the absolute value being multiplied by a negative number for example
-2|x-2|+1>10
would you have to get your absolute value on the left side by itself before you can decipher whether you use x<-C or x>c as compared to using -c<x<c?

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Post by julius mogyorossy on August 30, 2011

Is example one wrong, you are supposed to solve for the non absolute values of z aren't you, if 10 is one side of the non absolute value of the coin, shouldn't -10 be the other side, why did he make the 6 negative and not the z. Maybe I am confused.

Inequalities with Absolute Values

  • To solve an inequality involving absolute value, convert the original inequality into a compound inequality that does not involve absolute value, using the definition of absolute value. For example, |2x + 3| > 4 would become: either 2x + 3 > 4 or 2x + 3 < -4.

  • Describe the solution set of a compound inequality using either a number line or set builder notation.

Inequalities with Absolute Values

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
  • Inequalities of the Form |x|< n 0:22
  • Inequalities of the Form |x|> n 3:30
  • Lecture Example 1 5:33
  • Lecture Example 2 8:50
  • Additional Example 3
  • Additional Example 4

Related Books