Is there a standard notation for representing disjoint inequalities? For example, let's say that I have an equation that may be solved under the following conditions:
$ x \leq a$ OR $ x \geq a+b$
is there a standard way to express an OR condition with inequalities? I thought of combining the two as:
$x \leq a \leq x-b$
But this is somewhat confusing because $a$ is a constant, and it looks like the upperbound is smaller than the lower bound. Any suggestions?
The notation $$x\leq a\leq x-b$$ means $x\leq a$ AND $a\leq x-b$, so you cannot use it. But writing it $$x\leq a\quad\text{or}\quad x\geq a+b,$$ as you did, is a perfectly acceptable mathematical notation.