## Intermediate Algebra (12th Edition)

Recall: The intersection of sets A and B is the set that contains all the elements that are common to both sets. The set $\left\{x|x\ge 9\right\}$ contains all the real numbers greater than or equal to $9$. The set $\left\{x|x\le 9\right\}$ contains all the real numbers less than or equal to $9$. Note that the only common element of the two sets is $9$. Thus, the intersection of the two sets is $\left\{9\right\}$. Therefore, the given statement is false.