I am working on a problem but I am stuck because I do not know how to interpret this part of the problem:
$\varepsilon$ is a positive real number. $x, x_0,$ and $y_0$ are real numbers.
$ |x-x_{0}|<\min \left(\frac{ \varepsilon }{2(|y_{0}|+1)},1\right) $
The rest of the problem includes another inequality to prove a third inequality. I am stuck because I do not know how to interpret the "$\min ( )$" part of this inequality. This is for a first year calculus course - second week.