Try your hand at the 7's

Algebra Level 4

\[\large [ (1+a)(1+b)(1+c) ] ^{7} > 7^{7}(abc)^{\sigma}\]

What is the smallest integer value of \( \sigma \) such that the above inequality is true for all positive real \( a, b, c \)?

×

Problem Loading...

Note Loading...

Set Loading...