How do i know how the interval notiation set will be? I have attached a graph for an example =)
like
(5,-3] or is it [-3,5) plus i am confused with the brackets [ ( )]
It's (-3, 5]. The smaller value (taking the sign into account) must be on the left. The parentheses ( and ) correspond to strict inequalities < and >, while square brackets [ and ] correspond to non-strict inequalities $\displaystyle \le$ and $\displaystyle \ge$.
$\displaystyle \begin{gathered}(3,5)\; \equiv \,\left\{ {x:3 < x < 5} \right\} \hfill \\ (3,5]\; \equiv \,\left\{ {x:3 < x \leqslant 5} \right\} \hfill \\ [3,5)\; \equiv \,\left\{ {x:3 \leqslant x < 5} \right\} \hfill \\ [3,5]\; \equiv \,\left\{ {x:3 \leqslant x \leqslant 5} \right\} \hfill \\ \end{gathered} $