5x+2>3(x?1)① 1 2 x?1≤7? 3 2 x② ,解①得x>- 5 2 ,解②得x≤4,所以不等式组的解集为- 5 2 <x≤4,所以不等式组的整数解为-2,-1,0,1,2,3,4,即x取整数-2,-1,0,1,2,3,4时,不等式5x+2>3(x-1)与 1 2 x-1≤7- 3 2 x都成立.