# Math Help - Problem with intervals

1. ## Problem with intervals

If $S$ $\subseteq$ $R$ is a nonempty bounded set, and $I_s$ := [inf S, sup S], show that $S$ $\subseteq$ $I_s$. Moreover, if $J$ is any closed bounded interval containing $S$, show that $I_s$ $\subseteq$ $J$.

Thanks for any help.

2. With over forty postings you should understand that this is not a homework service nor is it a tutorial service.
PLease either post some of your own work on this problem or at the very least, explain what you do not understand about the question.