MathDB
Problems
Contests
International Contests
IMO Longlists
1989 IMO Longlists
92
92
Part of
1989 IMO Longlists
Problems
(1)
IMO Longlist 1989 Inequality
Source: IMO Longlist 1989, Problem 92
9/18/2008
Prove that
a
<
b
a < b
a
<
b
implies that a^3 \minus{} 3a \leq b^3 \minus{} 3b \plus{} 4. When does equality occur?
inequalities
inequalities unsolved