Just explaining to a ppl student(in the club, i am not an instructor) why an aircraft flies and hit with a question to which i was stumped!!

I think the aerofoil section makes the air travel further over the top of the wing than the bottom, thus causing a low pressure area on top of the wing. This low pressure area sucks the wing up! I think most would agree this is something like correct

So when a plane flies inverted, the low pressure area is on the EARTH side and should, if the previous theory is true, suck the plane into the ground

But it doesnt appear to. So for the aerobat types out there, how does it manage to fly either way up?