And you can find a handy chart that will tell you what the range is at Sheldon Brown's website.

Annoyingly, most rims don't have the inside bead seat width printed anywhere on them or on the specs you might be able to find on the web. Meaning you get to take the tires off to measure. Unless you happen to know, or someone else knows for your specific rim.

I can't tell the brand from looking at the photo.