Will I make it?

Em
I know nobody can tell for sure, but I want opinions! At my last doctors appointment (34+5 weeks) I was 2.5cm dilated, 80% effaced, and my cervix is soft. Do you think I'll make it to my due date (May 26th, but being induced the 18th)? 
My doctor didn't put me on bed rest or tell me not to have sex, etc. She just told me to "take it easy"