- #1
Turion
- 145
- 2
Assumption: |x| is unconditionally equal to ±x.
This makes sense because if you take a look at a graph of y=|x|, and plot any horizontal line y=C where C is some constant, you will always have two solutions: one is positive and one is negative.
But if we substitute any number into x, then we realize that this actually contradicts:
|x| = ±x
Let x = 2
|2| = ±2
2 = ±2
2 = 2 OR 2 = -2
Am I missing something or is the only reason why they aren't unconditionally equal?
This makes sense because if you take a look at a graph of y=|x|, and plot any horizontal line y=C where C is some constant, you will always have two solutions: one is positive and one is negative.
But if we substitute any number into x, then we realize that this actually contradicts:
|x| = ±x
Let x = 2
|2| = ±2
2 = ±2
2 = 2 OR 2 = -2
Am I missing something or is the only reason why they aren't unconditionally equal?
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