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For example:

| x | = -1

Or any other equation where the absolute value of any expression is negative. This doesn't have a solution, because the absolute number of any expression is always positive, or zero, never negative.

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Q: When is there no solution possible to an absolute value equation and why?
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Related questions

In algebra is it possible to have no solution?

It is definatly possible to have a no solution answer in algebra. The most common time a no solution answer will occur is in an absolute value problem. Absolute value problems cannot equal zero so if you have the problem: the absolute value of 2m - 3 = -14 the answer would be so solution because it cannot equal a negative number


How do you know if a value a is a solution to an equation?

If this value a satisfy the equation, then a is a solution for that equation. ( or we can say that for the value a the equation is true)


Why is it possible to check the solution to any equation?

If you found the value of x that is a solution to an equation, you want to substitute that value back into the original equation, to check that it indeed satisfies the equation. If it does not satisfy the equation, then you made an error in your calculations, and you need to rework the problem.


What are the characteristics of an absolute value equation?

Mainly that somewhere in the equation there is an absolute value, usually of an expression that involves the variable.


How is this different from determining if a value is a solution to an equation?

How is this different from determining if a value is a solution to an equation?


What is an absolute personal equation?

An absolute personal equation is the difference between an observed value and a standard value assumed as being true.


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It is an equation used to anwer an absolute value inequality.


What is the value of a variable that makes an equation true?

That's the "solution" of the equation.


What do you call a V-shape on a graph?

That is a result of an absolute value equation. So an Absolute Value Graph


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It is the solution of the given equation.


What is the value of h in the equation -2h plus 614?

With out an equality sign the given expression can't be considered to be an equation and so therefore no solution is possible.


A value that makes an equation true?

Any number that makes an equation true is a 'solution of an equation'. it is a solution