Question

Solve for x and graph.|x+5| = .01

Answer 1

We need to solve the following equation:

`|x+5|=0.01`

There are two possibilities for the absolute operator, we have the possibility that the argument is positive or negative. Therefore:

`\begin{gathered} x+5=0.01 \\ x=0.01-5=-4.99 \\ \end{gathered}`
`\begin{gathered} -(x+5)=0.01 \\ -x-5=0.01 \\ -x=0.01+5 \\ -x=5.01 \\ x=-5.01 \end{gathered}`

The solution is -4.99 and -5.01.