Board Thread:Off-Topic Posts/@comment-32576568-20190405202604/@comment-36963837-20190508191919

X=1

Let a, b, c, d, be positive real numbers such that

abcd = 1 and a+b+c+d > a/b + b/c + c/d + d/a.

Prove that

a+a+a+a < b/a + c/b + d/c + a/d