Originally Posted by

**jeremy5561** We're learning about the episilon-delta definition of limits.

Anyway a related question was given by the course. Given $\displaystyle 0<|x-1|<2$ what range of values can $\displaystyle |2x-3|$ be?

Well I've got this to $\displaystyle 0<|2x-2|<4$ but i really don't know what to do from here, and how to solidly demonstrate the range of values $\displaystyle |2x-3|$ can be.

I managed to show $\displaystyle |2x-3|<5$ in a very long brute force way but I feel like there has to be a better way to do it. Any ideas?