CN-LEAGUE 1998 Problem 2

Nonempty set $A=\{x|2a+1\leq x\leq 3a-5\},B=\{x|3\leq x\leq22\}$ , then the range value of $a$ such that $A\subseteq A\cap B$ is $\text{(A)}\{a|1\leq a \leq9\} \text{(B)}\{a|6\leq a \leq9\} \text{(C)}\{a|a \leq9\} \text{(D)}\varnothing$