Absolute Value Equations
Key Questions
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For example,
#|x|=0# has only one solution#x=0# .
I hope that this was helpful.
Wataru
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1
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Nov 11 2014
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Yes, it can; for example,
#|x|=x# has the solution set#[0,infty)# , which contains infinitely many solutions.
I hope that this was helpful.
Wataru
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5
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Oct 29 2014
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For absolute value, remember that the simplified version of the absolute value of a number will always be positive, because absolute value means the distance from 0. So that being said, the absolute value of |-78| is 78, because -78 is 78 places away from 0.
Once you know this, the rest is easy. Simplify all the absolute values, then solve normally. There will always be 2 answers, one positive one and one negative one. Make sure you list both on the test.
I hope this helped!
Marco
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3
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Nov 17 2014
Questions
Linear Inequalities and Absolute Value
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Inequality Expressions
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Inequalities with Addition and Subtraction
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Inequalities with Multiplication and Division
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Multi-Step Inequalities
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Compound Inequalities
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Applications with Inequalities
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Absolute Value
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Absolute Value Equations
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Graphs of Absolute Value Equations
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Absolute Value Inequalities
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Linear Inequalities in Two Variables
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Theoretical and Experimental Probability