Oh and film also doesn't die after its expiry date, I made enlargements of some shots from ten-year-past-expiry film recently, not technically perfect but I love the look. Try a roll and see what you get!
X-rays definitely do fog film though. If you care enough to use film, but not enough to ask someone to manually inspect it... that's weird to me.
100 ISO through carry on once? Probably no issue. Instead of once, 8x? You'll see things. ISO 1600 through carry on once - you'll see lines. 100 on checked luggage? It's gone.
edit: Kodak posted some examples with X-ray scanning awhile back: http://support.en.kodak.com/app/answers/detail/a_id/30482/~/... - it really depends on the sensitivity - and that effect is additive.
I was worried about the lower ISO film as well because going to ten different museums/monuments a day meant ten security checkpoints. I didn't want X-ray exposures to accumulate for even the low ISO film.