Inequality
Posted: Sun Nov 22, 2015 7:10 pm
The inequality \[ \frac{x|x-2|(x-4)|x-6|...|x-2014|}{(x-1)|x-3|(x-5)|x-7|...|x-2015|} > 0\] does not hold for a finite number of intervals on the real number line. What is the sum of the length between the points 0 and 1 is 1 unit long.