The Deluxe dual tool is suitable for carpet or hard floors (not timber). It has a metal base that suits carpets and rugs and by pushing you foot on the lever its switches to a nylon bristle head thats perfect for tiles or vinyl planking.
The deluxe dual tool is wider than the dual tool with longer bristles and a wide opening. It has a wheel on the back of it allowing the brush head to sit at the perfect height avoiding the metal base from touching you tiled floors your floors. The rear wheel also makes it easier to glide over longer carpet piles.
If you have wooden floors you should take a look at the Hard floor brush.