Jay520 said:
SuperMarioWorld said:
the step 'subtract x' is a trick. you are treating x as a constant at the start of the proof and a variable on the 'subract x' step. so when you say subtract x it means subtract 0.99999 therefore your proof doesn't really hold up mathematically. its a trick
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I don't care what you call it x. I made X equal to 0.99...
At that point, everything I did was done to both sides, meaning I didn't change anything. Look, I can do the same for any other number you can think of. Here, I'll do some examples just for you.
| x = 5 |
given |
| 10x = 50 |
multiply by 10 |
| 9x = 45 |
subtract x |
| x = 5 |
divide by 9 |
| 5=5 |
substitution |
| x = 12 |
given |
| 10x =120 |
multiply by 10 |
| 9x = 108 |
subtract x |
| x = 12 |
divide by 9 |
| 12 = 12 |
substitution |
| x = (1/9) |
given |
| 10x = 10/9 |
multiply by 10 |
| 9x = 1 |
subtract x |
| x = 1/9 |
divide by 9 |
| 1/9 = 1/9 |
substitution |
etc, etc.
So please tell me why this wouldn't work for 0.999...
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now do it for 1/8.
it will only work if x is a positive integer or x is 1/9. there is your flaw. therefore you just prooved 0.999999 doesn't equal 1.