Going over your EDD isn't a reason to be induced. There is a 2 week buffer when it comes to EDDs. When your due date comes there is a chance you're still 2 weeks less than 40 weeks because usually EDDs are counted at your last menstrual period which means for 2 weeks you were not even pregnant.
You're not late until you're past 42 weeks, and you can have checks to make sure everything is going ok. There has been reports of many women giving birth at 43, 44 and even 45 weeks gestation.