2021 IMO Problems/Problem 2
Problem
Show that the inequality
holds for all real numbers
.
Solution
then, since
then,
therefore we have to prove that
for every list [Xi],
and we can describe this to
we know that
therefore,
--Mathhyhyhy 13:29, 6 June 2023 (EST)
Video solutions
https://youtu.be/cI9p-Z4-Sc8 [Video contains solutions to all day 1 problems]
https://youtu.be/akJOPrh5sqg [uses integral]