#### Answer

False

#### Work Step by Step

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.