Inequality

For students of class 9-10 (age 14-16)
Mahfuz Sobhan
Posts: 25
Joined: Sat Feb 07, 2015 5:40 pm

Inequality

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.