Answer
$(-\infty ,+\infty)$
Refer to the graph below.
Work Step by Step
The conjunction "or" means union.
Recall:
The union of sets $A$ and $B$, denoted by $A\cup B$, is the set that contains the combined elements of $A$ and $B$.
$x\ge-2$ includes all real numbers greater than or equal to $-2$.
In interval notation, the set is $[-2, \infty).$
$x\le4$ includes all real numbers less than or equal to $4$.
In interval notation, the set is $(-\infty, 4].$
Thus, the union of the two given sets is $[-2, \infty) \cup (-\infty, 4]$, which when simplified becomes $(-\infty, +\infty)$.
To graph this solution set, shade tge entire number line
Refer to the graph above.