Suppose I have these two inequalities:
$$-\epsilon < l < \epsilon$$ $$ -\epsilon + 1 < l < \epsilon +1 $$
where $\epsilon$ and $l$ can be any number and $\epsilon \gt 0$.
How can I show that these two inequality is not true for all $\epsilon$?
I found that $\epsilon$ between 0 to 0.5 will make this inequality false but I was wondering if there is another approach that does not involve trial and error.
Thank you in advance for any help provided.