In my laundry room, I've got asbestos floor tile. (The house was built in 1967.) The tile is laid on the concrete slab. Is it possible to lay ceramic penny tile over the asbestos tile if I put down cement backerboard first? I'd like to avoid pulling up the asbestos tile.
As long as you do not disturb the asbestos you're fine. Asbestos is dangerous only when inhaled, which only happens if its airborne.
Take care when you lay down the backer board to not damage the asbestos. Glue and screw it down (as screwing it down with cement on top isn't going to risk creating airborne asbestos fibers) and tile away to your hearts content.