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## Homework Statement

then what are the operations that maintain the Inequality and what are the operations that don't?

## Homework Equations

## The Attempt at a Solution

clearly addition and subtraction maintains it ,and so does multiplication and division by any number other than zero. also taking any nonzero exponent except incase numbers a and -a

cause a !=-a but a^even = (-a)^even and the zeroes but what about the logarithms?

2 =! -2 but can we say that ln(-2) =! ln(2) I mean since there is no such thing as ln(-2) can we not equalize something we don't know? and what are the other operations that I forgot to mention that maintain or dont maintain the inequality