Usually for first child would exceed EDD but subject to body. My two kids both exceeded EDD despite 3 cm dilating. I was given a week and a day to see if there's progress, however nothing changes. Therefore my first was induced, but not my second.
Induced can be much more painful and if you are not dilating well enough, it can be hours of labours and if it is too long, it may ended up with c section. However, as mentioned before it all depends on our body reacting to what's given. Whether not it works.