数学题,帮帮忙!~

化简(m-2)x+3=11-m(3-x)
得:mx-2x+3=11-3m+mx
2x=3m-8
x=(3/2)m-4

当(3/2)m-4>0时
即m>8/3时
有正数解

当(3/2)m-4<0
即m<8/3时
有负数解

当(3/2)m-4<=2时
即m<=4时
有不大于2的解

(m-2)x+3=11-m(3-x)

(m-2)x=8-3m+mx

(m-2-m)x=8-3m

-2x=8-3m

x=(3m-8)/2

(1)有正数解，则x>0

(3m-8)/2>0

即:m>8/3

(2)有负数解，则x<0

(3m-8)/2<0

即:m<8/3

(3)不大于2的解，则x<=2

(3m-8)/2<=2
3m-8<=4
3m<=12

即:m<=4

(m-2)x+3=11-m(3-x)
mx-2x+3=11-3m+mx
-2x=8-3m
x=-4+1.5m
1. -4+1.5m>0
1.5m>4
m>8/3
2 -4+1.5m<0
1.5m<4
m<8/3
3 -4+1.5m<=2
1.5m<=6
m<=4
请给分,谢谢!

(m-2)x+3=11-m(3-x)
(m-2)x+3=11-3m+mx
-2x=8-3m
x=3m/2-4

x>0, 3m/2-4>0 m>