Question

How do you solve the inequality `-x < 2x^3 < -8x^3`?

Answer 1

There are no solutions to the given inequality

Explanation:

If `2x^3 < -8x^3`
then `x` must be negative
i.e. `x < 0`

But
if `x < 0`
then
`-x > 0`
and
`2x^3 < 0`

So `x >=0`

`x` can not be both `< 0` and `>= 0`

so there can be no solutions to these inequalities