Question

Entukan himpunan penyelesaian dari pertidaksamaan
1. x+3>0
2. 3x-9<0
3. 4x <= -12
4. 14-7x>0
5. 6x+18<=0
6. 1-x<2+7x
7. 2x-1<=5x
8. x/3 + 1/2 <= x/4 + 5/6
9. 2x+1 <= 3x + 5 < 2x +6
10. x - 1 <= 2x +1 <= 3 + x

Answer 1

1. x > -3
2. 3x < 9 ---> x < 3
3. x <= -3
4. -7x > -14 ---> x < 2
5. 6x <= -18 ---> x <= -3
6. -x - 7x < 2 -1 --> -8x < 1 --> x > 1/8
7. 2x - 5x <= 1 --> -3x <= 1 --> x >= -1/3
8. x/3 - x/4 <= 5/6 - 1/2
1/12 x <= 1/3
x <= 1/3 :1/12 
x <= 4
9. 2x +1 <= 3x + 5 < 2x + 6
2x + 1 <= 3x + 5 atau 3x +5 < 2x + 6
2x-3x <= 5-1  atau 3x -2x < 6 - 5
-x <= 5  atau x < 1
x >= -5 atau x < 1
-5 <= x < 1
10.  x+1 <= 2x +1 <= 3 + x
x+1 <= 2x +1 atau 2x +1 <= 3 + x
x-2x <= 1-1  atau 2x -x <= 3-1
-x <= 0 atau x <= 2
x >= 0 atau x <= 2
0 <= x <= 2