Answer
Fill the blank with:
greater than
Work Step by Step
An interval may be annotated as
$[a,b],\ (a,b],\ [a,b),\ (a,b),\ (-\infty,b],\ (-\infty,b),\ [a, \infty),\ (a, \infty).$
It indicates numbers between the left and right borders. The inequality signs depend on whether a border is included in the set or not.
The bracket "[", or "]" means "border included" and the sign is "$\leq $".
The parenthesis "(" or ")" means "border excluded" and the sign is "$\lt $".
$\pm\infty $ implies "no border", so it is always accompanied by a parenthesis
For example
$[a,b)$ = $\{x\ |\; a\leq x \lt b\ \ \}$
$(-6,\infty)$ = $\{x\ |\; x \gt -6\ \ \}$
$(-\infty,3] = \{x\ |\; x \leq 3\ \ \}$
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"$(-2$..." means that the left border 2 is excluded, "... $\infty)$" means that there is no right border.
The interval contains numbers x such that
$-2 \lt x \lt \infty $
which are numbers greater than $-2.$
