P and S waves are types of seismic waves that travel through the Earth's interior. Here's how they interact with different states of matter:

* P-waves (Primary waves): These are compressional waves, meaning they travel by compressing and expanding the material they pass through. They can travel through solids, liquids, and gases.

* S-waves (Secondary waves): These are shear waves, meaning they travel by moving the material perpendicular to the direction of wave travel. S-waves can only travel through solids. They cannot travel through liquids or gases because these materials lack the rigidity necessary to support a shear wave.

In summary:

* P-waves: Travel through solids, liquids, and gases.

* S-waves: Travel through solids only.