ASK YOUR TEACHER

Is the following statement true or false?

For every odd integer $n,|$~$\frac{n}{2}$~$|=\frac{n+1}{2}$ The result is

$|$~$\frac{n}{2}$~$|=|$~$+\frac{1}{2}$~$|=$

$$

Also, when $\frac{n+1}{2}$ is expressed in terms of $k$ and is completely simplified, the result is

$\frac{n+1}{2}=$

$$

Since the expression in $k$ for $|$~$\frac{n}{2}$~$|$ is $$ as the expression in $k$ for $\frac{n+1}{2},$ the given statement is $$