Solving for unknowns

Question














Solve for x: | 4 - x | = 0
Solve for x: | x - 4 | + 3 = 9
Solve for x: | -3x + 4 | = | -x + 2 |
Solve for x: | x + 2 | = | 2 - x |




Solution

Solve for x: | 4 - x | = 0

x=4
Test

|4-4|=0
|0| = 0
 0 = 0

Solve for x: | x - 4 | + 3 = 9

1. |x-4|=9-3


2. |x-4|=6


3. x=-2


4. x=10


5. Test

x=-2
 | -2 - 4 | + 3 = 9
 | -6 | + 3 = 9
 6 + 3 = 9
 9 = 9
x=10
| x - 4 | + 3 = 9
| 10 - 4 | + 3 = 9
| 6 | + 3 = 9
 6 + 3 = 9
 9 = 9

Solve for x: | -3x + 4 | = | -x + 2 |

x=1
Test

| -3*1 + 4 | = | -1 + 2 |
| -3 + 4 | = | 1  |
| 1 | = | 1  |
1  = 1

Solve for x: | x + 2 | = | 2 - x |

x=0
Test

| 0 + 2 | = | 2 - 0 |
| 2 | = | 2|
2=2

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