A:|x-3|<(x+a)/2,<==>-(x+a)/2各乘以2,-x-a<2x-6解得(6-a)/3(1)A非空,<==>(6-a)/3<6+a,∴6-a<18+3a,∴-12<4a,a>-3,为所求.(2)A∩Z={3,4},<==>2<=(6-a)/3<3,4<6+a<=5,<==>6<=6-a<9,-2<==>-3∴-2