A seismic station recorded the P-waves, but no S-waves, from an earthquake because S-waves were

(1) absorbed by Earth's outer core

(2) transmitted only through liquids

(3) weak and detected only at nearby locations

(4) not produced by this earthquake

A seismic station recorded the P-waves, but no S-waves, from an earthquake because S-waves were (1) absorbed by Earth's outer core.

The core of our planet can absorb such waves as S-waves, which is why they were not recorded. The other answers are not true, which makes the first one correct.