No plus ones -- unfair to single people?

Right now we've got about 150 people on our guest list, which includes all of our friends and family and their partners if they have them. We want to invite everybody by name.

I'm thinking for capacity and cost purposes, we don't invite plus ones -- that would mean that people who are single right now would have to anticipate going to our wedding solo, even if they meet somebody in the interim.

I understand it's my wedding and I can do what I want, but I'm wondering if that will bother single people? Will they feel awkward or uncomfortable going to a wedding alone?

I know I've felt bad before when my fiance was invited to weddings and I wasn't included on the invite, even though I understand weddings are expensive and people have every right to a small intimate gathering if they want.