Answer
$(-\infty, +\infty)$
Refer to the graph below.
Work Step by Step
Recall:
The union of sets $A$ and $B$, denoted by $A\cup B$, is the set that contains the combined elements of $A$ and $B$.
The first graph represents $[1, +\infty)$.
The second graph represents $(-\infty, 8]$.
Thus, the union of the two given sets is $(-\infty, 8] \cup [1, +\infty)$, which when simplified becomes $(-\infty, +\infty)$.
To graph this solution set, shade the entire number line.
Refer to the graph above.