# Math Help - Relationship between absolute values

1. ## Relationship between absolute values

Hey
Not sure if this belongs in the calculus section but I didn't know where else to put it and it came from a calculus question anyways.

For
$\left|y \right|=a \left|x^3\right|$
does this imply that
$a\geq0$
Because the left hand side must be non-negative, and $\left|x^3\right|$ must be non-negative, shouldn't a also be non-negative, otherwise you end up with a negative equals a positive?

2. Originally Posted by chug1
Because the left hand side must be non-negative, and \left|x^3\right| must be non-negative, shouldn't a also be non-negative, otherwise you end up with a negative equals a positive?
you basically summed it up.

3. Cool thanks.