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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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
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)
Mainly that somewhere in the equation there is an absolute value, usually of an expression that involves the variable.
It is an equation used to anwer an absolute value inequality.
An absolute personal equation is the difference between an observed value and a standard value assumed as being true.