Question

Tentukan himpunan penyelesaian persamaan Linier nilai mutlak Sbb :
1. | x - 2 | = 8
2. | 5x - 15 | = 20
3. | x + 2 | = 10
4. | 3x - 5 | = 7
5. | 3 - 2x | = 4
6 | x/2 + 5 | = 9
7. | 3x + 2 | = 5
8. | 2 - x/2 | =3

Answer 1

1. x-2 = 8
x = 10
-x+2 = 8
x = -6
{-6,10}
2. 5x-15 = 20
5x = 35
x = 7
-5x+15 = 20
-5x = 5
x = -1
{-1,7}
3. x+2 = 10
x = 8
-x-2 = 10
x = -12
{-12,8}
4. 3x-5 = 7
3x = 12
x = 4
-3x+5 = 7
-3x = 2
x = -2/3
{-2/3,4}
5. 3-2x = 4
-2x = 1
x = -1/2
-3+2x = 4
2x = 7
x = 7/2
{-1/2,7/2}
6. x/2+5 = 9
x/2 = 4
x = 8
-x/2-5 = 9
-x/2 = 14
x = -28
{-28,8}
7. 3x+2 = 5
3x = 3
x = 1
-3x-2 = 5
-3x = 7
x = -7/3
{-7/3,1}
8. 2-x/2 = 3
-x/2 = 1
x = -2
-2+x/2 = 3
x/2 = 5
x = 10
{-2,10}