Question

is the absolute value of 1-1/5x 1+1/5x or does it stay 1-1/5x?

Answer 1

it is neither

Answer 2

\[|1-\frac{1}{5}x|\] is positive but that does not make it
\[1+\frac{1}{5}x\]

Answer 3

\[|1-\frac{1}{5}x| = \left\{\begin{array}{rcc}
1-\frac{1}{5}x & \text{if} & x \leq 5 \\
\frac{1}{5}x-1& \text{if} & x>5\\
\end{array}
\right.\]