Answer
Option $J$
Work Step by Step
The given inequality is "$x$ is less than or equal to $6$."
The numbers included in this set are the numbers that are less than or equal to $6$, which are to the left of $6$ on the number line, including $6$ itself.
The equivalent interval notation of the given inequality will have:
$\bf\text{lower limit:}$
none, so negative infinity will be used.
$\bf\text{upper limit:}$
$6$, a bracket will be used since $6$ is included
Therefore, the interval is: $\color{blue}{(-\infty, 6]}$