Question

Write the absolute value equation if it has the following solutions. Hint: Your equation should be written as x−b =c. (Here b and c are some numbers.)

One solution: x=−4.1.

Answer 1

`\\ \text{We need to write anabsolute value equation for the one solution}\\ \\ x=-4.1\\ \\ \text{we know that if an equation has only one solution, x=c, then}\\ \text{we can write it in the absolute equation form}\\ \\ |x-c|=0\\ \\ \text{so using this concept, we can say that the absolute value equation}\\ \text{for the one solution, }x=-4.1 \text{ is given by}\\ \\ |x-(-4.1)|=0\\ \\ \Rightarrow |x+4.1|=0`

Hence, the absolute value equation for the given solution is: | x+4.1 | = 0