## Intermediate Algebra (12th Edition)

$(-\infty ,+\infty)$ Refer to the graph below.
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.