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.
An absolute personal equation is the difference between an observed value and a standard value assumed as being true.
An absolute value equation that equals 13 can be expressed as |x| = 13. This equation indicates that the value of x can be either 13 or -13, since the absolute value function measures the distance of a number from zero, regardless of its sign.
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
An absolute value equation typically has two solutions if it can be expressed in the form (|x| = a) where (a) is a positive number. This means the equation has two scenarios: (x = a) and (x = -a). If the equation is set equal to a negative number, it has no solution, and if it's equal to zero, there is only one solution. Therefore, check the right side of the equation to determine the number of solutions.
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?
An absolute personal equation is the difference between an observed value and a standard value assumed as being true.
An absolute value equation that equals 13 can be expressed as |x| = 13. This equation indicates that the value of x can be either 13 or -13, since the absolute value function measures the distance of a number from zero, regardless of its sign.
To solve an absolute value equation with variables, first set the expression inside the absolute value equal to both the positive and negative values of the target number. For example, if you have |x| = a, you would solve the two equations x = a and x = -a. Then, solve each equation separately to find the possible values of the variable. Finally, check your solutions to ensure they satisfy the original equation.
That is a result of an absolute value equation. So an Absolute Value Graph
That's the "solution" of the equation.
With out an equality sign the given expression can't be considered to be an equation and so therefore no solution is possible.