Answer
$[8, +\infty)$
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 $[8, \infty)$.
Thus, the union of the two given sets is $[1, +\infty) \cup [8, +\infty)$, which when simplified becomes $[8, +\infty)$.
To graph this solution set, shade the entire number line.
Refer to the graph above.