Sound waves.
Sound waves cannot travel through an empty space because an empty space is usually a vacuum.
No, mechanical or pressure waves can not travel through empty space
Electromagnetic waves can travel through empty space.
light
Light, a combination of oscillating electric and magnetic fields.
Radio waves travel through empty space because they are electromagnetic waves, whereas sound is a wave that must travel through air.
yes it can
Yes.
Both electromagnetic waves and gravity waves can travel through empty space. Gravity waves travel through matter as well; some electromagnetic waves may travel through some types of matter.
Electromagnetic waves can travel through empty space.
Light waves can travel through empty space. You might say that the empty space is the medium in this case.
Radiation can travel through empty space. The radiation in question is electromagnetic waves.