It's The Distance

Algebra Level 3

For how many natural numbers x is |x-2007| > x ?


The answer is 1003.

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1 solution

Brian Dela Torre
Oct 12, 2015

Here's the solution;

|x-2007| > x have two cases; x - 2007 > x and x - 2007 < -x

Since the first case of inequality has no solution then the result follows.

Answer must be x <1003 since we find the number of natural numbers then,

The answer is 1003 \boxed{1003}

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