解不等式组(1){1+2x>3+x,(2) {2-x≤-1,(3){3(x-1)<4x-2,5x≤4x-1; 3<x-1; -x/5>x+1/2

问题描述:

解不等式组
(1){1+2x>3+x,(2) {2-x≤-1,(3){3(x-1)<4x-2,
5x≤4x-1; 3<x-1; -x/5>x+1/2

1)、1+2x>3+x 得2x-x>-1+3 得x>2; 5x≤4x-1得5x-4x≤-1得x≤-1,所以x无解。
2)、2-x≤-1得x>=2+1得x>=3, 3<x-1得x>3+1得x>4,两个大于号取大,故x>4.
3)、3(x-1)<4x-2得3x-3-1, -x/5>x+1/2得-x>5x+5/2得6x-1

(1)无解
(2)X>4
(3)-1

(1)x>2
(2)x≥3
(3)x>-1
x≤-1
x>4
x

(1)1+2x>3+x x>2
5x≤4x-1 x≤-1
无解
(2)2-x≤-1 x>=3
3<x-1 x>4
x>4
(3)3(x-1)<4x-2 x>-1
-x/5>x+1/2
-1/2>6x/5
x -1

(1){ 1+2x>3+x-----------(1)5x≤4x-1-------------(2)解(1)得,x>2解(2)得,x≤-1无解(2) { 2-x≤-1------------(1)3<x-1--------------(2)解(1)得,x≥3解(2)得,x>4即 x>4(3){ 3(x-1)<4x-2...