Induction date questions if anyone can help...

Lindsay • Enjoying every second of our beautiful baby girl
I'm due this Sunday, June 26th. I have an appointment this Friday, June 24th and my doctor told me at my last one that this time we will set an induction date. He said they don't want me to go "much past 41 weeks" so is it likely that my induction date will be set for next week since I'll be 40 this Sunday? 
I'm sure it's different for everyone and depends on the doctor, bed availability in the hospital, etc.
I guess what I'm asking is at how many weeks were you induced or are you scheduled to be induced? Are you going past 41 weeks or staying under?