Answer:
I can be written, I can be spoken, I can be exposed, I can be broken.
What kind of nut is empty at the center and has no shell.
My first is equality; my second is inferiority; my whole is superiority.
You can tumble in it, roll in it, burn it, animal eat it. Used to cover floors, still used beyond stall doors. Freshens whatever it is placed on. Absorbs whatever is poured into it.
What goes in, but never through? I've got some and so do you. We might lend one, or even two, but only if our trust is true.
People take me on walks and I run and have fun. What am I?