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 1. There are numbers in that list.
See also
2006 Alabama ARML TST (Problems) | ||
Preceded by: First Question |
Followed by: Problem 2 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 |