(1)(1/2) x+3≥2-(1/4) x(2)6+2x<7+x3x-2≤-8(3)5x-1<x-5x+4>7(4)(x/2)-(x/3)>-12(x-3)-3(x-2)>-6(5)2x-5<3x(x-2)/2 > x/3

问题描述:

(1)(1/2) x+3≥2-(1/4) x
(2)6+2x<7+x
3x-2≤-8
(3)5x-1<x-5
x+4>7
(4)(x/2)-(x/3)>-1
2(x-3)-3(x-2)>-6
(5)2x-5<3x
(x-2)/2 > x/3

(1)
x/2+3≥2-x/4
2x+12≥8-x
3x≥-4
x≥-4/3
(2)
6+2x<7+x
3x-2≤-8
x<1
3x≤-6
x<1
x≤-2
所以x≤-2
(3)
5x-1<x-5
x+4>7
4x<-4
x>3
x<-1
x>3
所以此方程组无解
(4)
(x/2)-(x/3)>-1
2(x-3)-3(x-2)>-6
3x-2x>-6
2x-6-3x+6>-6
x>-6
-x>-6
x>-6
x<6
所以-6<x<6
(5)
2x-5<3x
(x-2)/2 > x/3
-5<x
3x-6>2x
-5<x
x>6
所以x>6