## Solve equations and inequalities involving absolute value.

##### Created by:

WiltonW  on October 26, 2010

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# Solve equations and inequalities involving absolute value.

 How to solve an absolute value equation.|x-2|=5Split into two separate equations except make "5" a negative for one of the equations and then solve them both, write "OR" between both equations and that's your answer. Example: x-2=5 x-2=-5 x=3 OR x=-3
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How to solve an absolute value equation.|x-2|=5 Split into two separate equations except make "5" a negative for one of the equations and then solve them both, write "OR" between both equations and that's your answer.
Example: x-2=5 x-2=-5
x=3 OR x=-3
How to solve an absolute value inequality.
Example: |x-3|≤4
You do the exact same thing as how to solve an absolute value equation, except you have to switch the sign around if you're dividing a negative.
What happens to an inequality when you multiply or divide by a negative.
Example: (-x≥5)(-1)
Switch the Sign.
Example: x≤-5

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