幫我解不等式 ...(20分)

2007-12-02 6:48 am
***一定要列式***

1. 24>3y/2+16

2. 6一5x≤26

3. 4(x+1)>16

4. -4(x一2)≥16

5. 3(2x一1)/4≤6

6. -3(1一2x)/4>6

7. 2x + 1≥x

8. 4x一3≥2x

9. 6x一1>2x+5

10. 3(x一1)<2x

11. 2x≥3(x一2)

回答 (3)

2007-12-02 7:00 am
✔ 最佳答案
24>3y/2+16
8>3y/2
16>3y
y<16/3

6一5x≤26
-20≤5x
x≥-4

4(x+1)>16
x+1>4
x>3

-4(x一2)≥16
x-2≤4
x≤6

3(2x一1)/4≤6
3(2x-1)≤24
2x-1≤8
x≤9/2

-3(1一2x)/4>6
-3(1一2x)>24
1-2x<-8
9<2x
x>9/2

2x + 1≥x
x≥-1

4x一3≥2x
2x≥3
x≥3/2

6x一1>2x+5
4x>6
x>3/2

3(x一1)<2x
3x-3<2x
x<3

2x≥3(x一2)
2x≥3x-6
6≥x
2007-12-02 7:33 am
1. 24>3y/2+16
24-16>3y/2
8*2>3y
16/3>y
y<5.33

2. 6-5x≤26
6-26≤5x
-20/5≤x
x≥-4

3. 4(x+1)>16
x+1>16/4
x>4-1
x>3

4.-4(x-2)≥16
x-2≥16/-4
x≥-4+2
x≥-2

5. 3(2x-1)/4≤6
3(2x-1)≤6*4
2x-1≤24/3
2x≤8+1
x≤9/2
x≤4.5

6. - 3(1-2x)/4>6
-3(1-2x)>6*4
1-2x>24/-3
1-2x>-8
1+8>2x
x<9/2
x<4.5

7. 2x + 1≥x
2x -x ≥-1
x≥-1

8. 4x-3≥2x
4x-2x ≥3
2x ≥3
x ≥3/2
x ≥1.5

9. 6x-1>2x+5
6x-2x >5+1
4x>6
x>6/4
x>1.5

10. 3(x-1)<2x
3x-3<2x
3x-2x <3
x<3

11. 2x≥3(x-2)
2x≥3x-6
6≥3x-2x
x≤6

2007-12-02 00:04:23 補充:
當計算不等式時和方程式一樣要留意右左正數和負數外,還要留意 當計完答案時可將答案代入程式,就知答案對不對
2007-12-02 7:02 am
因時間關係, 我會計好四題, 就send一次給你, ok 嗎? 不便之處, 還請見諒
圖片參考:http://hk.yimg.com/i/icon/16/3.gif

1) 24>3y/2+16
48>3y+32
16>3y
y>16/3
2) 6-5x≤26
-5x≤20
x≥-4
3) 4(x+1)>16
x+1>4
x>3
4) -4(x-2)≥16
x-2≤-4
x≤-2

2007-12-01 23:06:39 補充:
5) 3(2x-1)/4≤63(2x-1)≤242x-1≤82x≤9x≤9/26) -3(1-2x)/4>6-3(1-2x)>241-2x>-8-2x>-9x<9/27) 2x + 1≥xx ≥ -18) 4x-3≥2x2x ≥ 3x ≥ 3/2

2007-12-01 23:09:57 補充:
9) 6x-1>2x+54x>6x>6/4x>3/210. 3(x-1)<2x3x-3<2xx<311. 2x≥3(x-2) 2x≥3x-66≥xx≤6

2007-12-01 23:18:30 補充:
提你兩個技巧:1) 除負數的乘法及除法, 不定式同相等式計法都一樣如, a 1 ≥ 2 ==> a ≥ 1 (你想, 如果是 a 1 = 2 ==> a = 1)2) 負數的乘法及除法有點特別, 原本是> (大過), 一面乘及除後, 就變成< (細過) 如, -2a > 4 ==> a < -2-a/2 ≤ 4 ==> a ≥ -8希望幫到你 ^_^


收錄日期: 2021-04-13 14:37:47
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20071201000051KK04456

檢視 Wayback Machine 備份