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.
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.
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)
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.
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?
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.
That's the "solution" of the equation.
That is a result of an absolute value equation. So an Absolute Value Graph
It is the solution of the given equation.
There is no possible value of x that will satisfy the given equation. There is no possible value of x that will satisfy the given equation. There is no possible value of x that will satisfy the given equation. There is no possible value of x that will satisfy the given equation.
Any number that makes an equation true is a 'solution of an equation'. it is a solution