MathDB
How Many Integer Solutions?

Source: Spring 2006 Tournament of Towns Junior O-Level #3

April 15, 2015
inequalities

Problem Statement

Let aa be some positive number. Find the number of integer solutions xx of inequality 2<xa<32 < xa < 3 given that inequality 1<xa<21 < xa < 2 has exactly 33 integer solutions. Consider all possible cases.
(4 points)
Back to ProblemsView on AoPS