Final answer:
An S-wave can move through solids because they require the material's ability to resist shear, which is a property of solids; they cannot travel through liquids or gases.
Step-by-step explanation:
An S-wave (secondary or shear wave) can move through solids but not through liquids or gases. This is because S-waves require a material's resistance to shear and deformation, which is a property of solids.
When earthquakes produce seismic waves, they include both longitudinal (P-waves) and transverse (S-waves).
P-waves can travel through liquids because they involve compressions and rarefactions, but S-waves cannot travel through liquids or gases as they rely on shearing motion, which cannot occur in these states of matter.