0
This could actually be 2 equations. I'll attempt to solve both.
10 - | x+2 | = 12
subtract 10 from both sides:
- | x+2 | = 2
multiply both sides by (-1):
| x+2 | = -2
this can't be solved.
Now for the second possibility based on the question:
10 - |x| + 2 = 12
combining constants on the lhs:
12 - |x| = 12
subtract 12 from both sides:
-|x| = 0
multiply both sides by (-1):
|x| = 0
the only way the absolute value of x could be 0 is if x = 0.
QED.
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∙ 15y ago
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