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INTERVAL$\newline$\begin{tabular}{|l|l|}$\newline$\hline & \multicolumn{$1$}{|c|}{ interval } \\$\newline$\hline$\{x \mid x<a\}$ & $(-\infty, a)$ \\$\newline$\hline$\{x \mid x \leq a\}$ & $(-\infty, a]$ \\$\newline$\hline$\{\mid a<x<b\}$ & $(a, b)$ \\$\newline$\hline$\{x \mid a \leq x \leq b\}$ & {$[a, b]$} \\$\newline$\hline$\{x \mid x>b\}$ & $(b, \infty)$ \\$\newline$\hline$(-\infty, a)$$0$ & {$(-\infty, a)$$1$} \\$\newline$\hline$(-\infty, a)$$2$ & $(-\infty, a)$$3$ \\$\newline$\hline$\newline$\end{tabular}