# 解一元一次不等式(國一)

(1)-5+x大於等於-5

(2)五分之三大於等於負三分之二 x

(3)-2x小於等於五分之八

(4)0.3x+3.5<0.7x-1.3

(5)五分之一(x-2)-六分之一(x-1)小於等於1

(6)四分之一(5x-3)減三分之一(5x-1)<x

(7)-(x-1)<3(-x+9)-(x+2)

(8)負十二分之一(2x-1)>六分之一(3x+1)減四分之五

(9)5-3x>8

(10)3+5x小於等於19+8x

(11)3(x-1)-(x-5)<x-5

(12)-1小於等於3x+2小於等於5

(13)13>2x-1>5

(14)4<-x+3小於等於7

(15)0.5x>5

(16)三分之四小於等於四分之三 x

(17)-20<2x+8<20

(18)-1小於等於2x-7<9

### 2 個解答

• 1 0 年前
最佳解答

(1) - 5 + X >= 5

A : X >= 10

(2)3 / 5 >= - 2 / 3 X

A : - 2 / 5 <= X

(3) - 2X <= 8 / 5

A : X >= - 4 / 5

(4) 0.3X + 3.5 < 0.7X - 1.3

3X + 35 < 7X - 13

4X > 48

A : X > 12

(5) 1 / 5 ( X - 2 ) - 1 / 6 ( X - 1 ) <= 1

6 ( X - 2 ) - 5 ( X - 1 ) <= 30

6X - 12 - 5X + 5 <= 30

A : X <= 37

(6) 1 / 4 ( 5X - 3 ) - 1 / 3 ( 5X - 1 ) < X

3 ( 5X - 3 ) - 4 ( 5X - 1 ) < 12X

15X - 9 - 20X + 4 < 12X

17X > - 5

A : X > -5/17

(7) - ( X - 1 ) < 3 ( - X + 9 ) - ( X + 2 )

- X + 1 < - 3 X + 27 - X - 2

3X < 24

A : X < 8

(8) - 1 / 12 ( 2X - 1 ) > 1 / 6 ( 3X + 1 ) - 5 / 4

- ( 2X - 1 ) > 2 ( 3X + 1 ) - 15

- 2X + 1 > 6X + 2 - 15

8X < 14

A : X < 7 / 4

(9) 5 - 3X > 8

3X < - 3

A : X < - 1

(10) 3 + 5X <= 19 + 8X

3X >= - 16

A : X >= - 16 / 3

(11) 3 ( X - 1) - ( X - 5 ) < X - 5

3X - 3 - X + 5 < X - 5

A : X < - 7

(12) - 1 <= 3X + 2 <= 5

- 1 - 2 <= 3X <= 5 - 2

-3/3 <= X <= 3

A : - 1 <= X <= 3

(13) 13 > 2X - 1 > 5

13 + 1 > 2X > 5 + 1

14 / 2 > X > 6 / 2

A : 7 > X > 3

(14) 4 < - X + 3 <= 7

4-3 < -X <= 7-3

A : 1 > X >= - 4

(15) 0.5x > 5

A : X > 10

(16) 4 / 3 <= 3 / 4X

16 < 9X

A: X > 16 / 9

(17) - 20 < 2X + 8 < 20

-28 < 2X < 12

-14 < X < 6

(18) - 1 <= 2X - 7 < 9

6 <= 2X < 16

3 <= X < 8

參考資料： 我是數學家教
• 登入以對解答發表意見
• 1 0 年前

1. X>=0

2.X>=-9/10

3.X>=-4/5

4.X>12

5.X<=37/7

6.X>-5/6

7.X<8

8.X<15/4

9.X<1

10.X>=-3/16

11.X<-7

12.-1<=X<=1

13.7>x>3

14.-1>=X>=4

15.X>10

16.X>=16/9

17.-14<X<6

18.3<=X<8

參考資料： ME
• 登入以對解答發表意見