2006 Alabama ARML TST Problems/Problem 1

Problem

How many integers satisfy the inequality

Solution

There are 1002 terms in that polynomial, and the product is less than 0 when an odd number of them are less than 0, and that happens when x is 2005, 2001, 1997, .... , or 5. There are numbers in that list.

See also

2006 Alabama ARML TST (Problems)
Preceded by: First Question	Followed by: Problem 2
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