9. Given the point sets $A=\left\{(x, y) \left\lvert\,(x-3)^{2}+(y-4)^{2} \leqslant\left(\frac{5}{2}\right)^{2}\right.\right\}$, $B=\left\{(x, y) \left\lvert\,(x-4)^{2}+(y-5)^{2}>\left(\frac{5}{2}\right)^{2}\right.\right\}$. Then the number of integer points (i.e., points with both coordinates being integers) in the point set $A \cap B$ is $\qquad$
The number of integer points (i.e., points with both coordinates being integers) in the point set $A \cap B$ is 7.
Notice that $\left[\left(\frac{5}{2}\right)^{2}\right]=6$, then these 7 points are:
$$
(1,3),(1,4),(1,5),(2,2),(2,3),(3,2),(4,2) \text {. }
$$