SOLUTION: What are the similarities/differences between linear inequalities and absolute value inequalities? Can they be solved the same way? Why or why not?

Question 1056092: What are the similarities/differences between linear inequalities and absolute value inequalities? Can they be solved the same way?
Why or why not?

Answer by ikleyn(52795)   (Show Source): You can put this solution on YOUR website!
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What are the similarities/differences between linear inequalities and absolute value inequalities? Can they be solved the same way?
Why or why not?
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To answer this question, a whole lecture is required.

And may be more than one lecture.

We used to answer more concrete questions in this site, helping students to solve concrete problems.

Nevertheless, on solving absolute value equations you can read the lessons
    - Absolute Value equations
    - HOW TO solve equations containing Linear Terms under the Absolute Value sign. Lesson 1
    - HOW TO solve equations containing Linear Terms under the Absolute Value sign. Lesson 2
    - HOW TO solve equations containing Linear Terms under the Absolute Value sign. Lesson 3
    - HOW TO solve equations containing Quadratic Terms under the Absolute Value sign. Lesson 1
    - HOW TO solve equations containing Quadratic Terms under the Absolute Value sign. Lesson 2
    - OVERVIEW of lessons on Absolute Value equations
in this site.

In the short form, in order to solve an absolute value equation, you need to reduce it to the linear equation
(or to the sequence of linear equations) each defined on certain interval/segment of the number line.

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