Hard vs Soft
"Hard light" comes form a single point source and thus produces sharp or "hard" shadows. On a sunny day, the sun produces very hard light. So does a slide projector or a flashlight. Conversely, "soft light" comes from a large, diffuse source. As a result, shadows are less defined--or perhaps not even visible at all. The fluorescent lights in most any classroom produce soft light. So do the clouds on a cloudy day.
SOFT
The right image (Betty) illustrates hard light. How can you tell? Look at the shadows. Notice the distinct, sharp-edged shadow under her nose, and on her neck and collar.
The left image (Lucy) illustrates soft light. The hard-edge shadows are nonexistent. Soft light doesn't necessarily mean totally even. Lucy's face contains both brighter and less bright areas; but no sharp shadow lines.
HARD