What area is considered "The Strip?"?

Now, I have just gotten back from Vegas for the 4th time, so not completely stupid. I went to Dallas last week. I visited my brother and had a class there for business. I have no credit card. I paid for the class, 250.00, then the airfare, 262.00. Then there was a Personal trainers conference the next week.. I could not resist, but I had 3 weeks to get my ticket to vegas. I had to wait 8 days to get the tick, room+airfare. I was on a tight budget. I saw what I truly believed they said was on the strip. I know it was a regular hotel and 5 miles off of what I called the strip, but on Las Vegas Blvd. I read the description of it and said it was on the strip and even people that stayed there. I thought I can take a bus to Bally's. It turns out that the bus route no one knew how to get me to Bally's via bus. On top of that, it did not seem to be on Las vegas blvd, as it seemed we were going on different streets to get to the hotel. I ened up paying lots for cabs and my shuttle service I paid for, did not go to my hotel! So my question is that can the hotel call it the strip is it is on the same street, but miles down the street? How could my hotel get away with this?