I am just starting to learn these inequality problems, I can show some things with AM>=GM, can someone give it a shot on solving fully!
- Thread starter NICKOMODE
- Start date
Given that, and
show that
.
We are not here to do problems fully for you. Consider looking at the contrapositive:
If abc > 1, then it is either the case that 1) \(\displaystyle \ (a + 1)(b + 1)(c + 1) \ne 8, \)
or 2) exactly two of a, b, c will be negative, or 3) both conditions will be true together.
Please post some attempts.