Question

数学解不等式组

1. x+3 > 4
x/2 < 1

2. x-3(x-2) ≤ 4
1-2x/4 > 2-x

3. 2(x-1) ≥ 3x+1
x/3 < x+1/4

4. 3x+1>5x+4
1/3x≤ x-2/3

Answer 1

1. x+3 > 4 x＞1
x/2 < 1 x＜2
∴1＜x＜2

2. x-3(x-2) ≤ 4 x-3x+6≤4 -2x≤-2 x≥1
1-2x/4 > 2-x 4-2x＞8-4x -2x+4x＞8-4 2x＞4 x＞2
∴x＞2
3. 2(x-1) ≥ 3x+1 2x-2≥3x+1 2x-3x≥1+2 -x≥3 x≤-3
x/3 < x+1/4 4x＜12x+3 4x-12x＜3 -9x＜3 x＞-1/3
∴无解

4. 3x+1>5x+4 3x-5x＞4-1 -2x＞-3 x＜1.5
1/3x≤ x-2/3 x≤3x-2 x-3x≤-2 -2x≤-2 x≥1
1≤x＜1.5

Answer 2

1. x+3 > 4
x>1
x/2 < 1
x<2

2. x-3(x-2) ≤ 4
x-3x+6≤4
-2x≤-2
x≥1
1-2x/4 > 2-x
4-2x>8-4x
2x>4
x>1/2

3. 2(x-1) ≥ 3x+1
2x-2≥3x+1
-x≥3
x≤-3
x/3 < x+1/4
4x<3x+3
x<3

4. 3x+1>5x+4
3x-5x>4-1
-2x>3
x<-3/2
1/3x≤ x-2/3
x≤x-2

Answer 3

1.1＜x＜2
2.x＞2
3.无解
4.无解
望对你有所帮助，祝学习进步，(*^__^*) 谢谢~~

Answer 4

同意1楼的解答。