Question 9Let $A=\{x\in\mathbb R:x^2+x-110\lt 0\}$ and $B=\{x\in\mathbb R:x^2+10x-96\lt 0\}$. The integer solutions of $x^2+ax+b\lt 0$ are exactly the integers in $A\cap B$. Find the maximum possible value of $\lfloor|a-b|\rfloor$.