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## Homework Statement

[tex]

f(x) = \begin{cases}

0, & t < \pi \\

t - \pi , & \pi \leq t < 2 \pi \\

0, & t \geq 2 \pi

\end{cases}

[/tex]

## Homework Equations

Unit step function:

[tex]u_c(t) = \begin{cases}

0, & t < c \\

1 , & t \geq c \\

\end{cases}

[/tex]

## The Attempt at a Solution

[itex]u_{\pi}(t)(t-\pi) - u_{2 \pi}(t)(t-2 \pi)[/itex] gives me:

[tex]

f(x) = \begin{cases}

0, & t < \pi \\

t - \pi , & \pi \leq t < 2 \pi \\

\pi, & t \geq 2 \pi

\end{cases}

[/tex]

I'm not sure what to do to get the last inequality correct?