已知集合\(A=\{x|x^{2}-x-6>0\}\)，\(B=\{x|x^{2}-3ax+4\leqslant 0\}\)，若\(a>0\)，且\(A∩B\)中恰好有两个整数解，则\(a\)的取值范围是\((\quad)\)
A. \(\dfrac{29}{15}\leqslant a< \dfrac {20}{9}\)
B. \(\dfrac{29}{15}< a< \dfrac {20}{9}\) C. \(\dfrac{13}{9}\leqslant a< \dfrac {20}{9}\) D. \(\dfrac{5}{3}< a< \dfrac {20}{9}\)
