Slow-roasted pork with Cabbage and Carrots

This was really easy to make, good, and a great value.  I think it cost about 13 dollars to make and it's enough for two meals.

3.5 pound boneless pork shoulder
medium head cabbage, cored and thinly sliced
5 carrots, thinly sliced
olive oil
salt and pepper

preheat oven to 325.  Heat 1 tbsp olive oil in dutch oven over medium.  Season pork with salt and pepper.  Add pork to pot and cook, turning occasionally, until browned, about 12 minutes.  Cover and roast in oven until fork tender, about 3 hours.  Transfer to cutting board and let rest for 10 minutes, then shred.  Pour off extra fat from dutch oven.  Add carrots and cabbate and cok over medium-high heat, stirring occasionally, until cabbage is wilted, 8-10 minutes.  Season with salt and pepper and serve with pork.