Step 1: Understand the question.
We must find the direction in which the Moon moves around the Earth.
Step 2: Recall the Moon's motion.
The Moon is Earth's natural satellite. It revolves around the Earth and takes about 27.3 days to complete one round.
Step 3: Compare with the Earth's spin.
The Earth itself spins from west to east. The Moon goes around the Earth in the same general sense, that is, from west to east.
Step 4: Picture it from above the North Pole.
If you look down from above the North Pole, the Moon moves anticlockwise around the Earth. Anticlockwise from this view means west to east.
Step 5: Rule out the other directions.
East to west, north-east to south-west, and south-west to north-east do not match the Moon's actual path. So they are wrong.
Step 6: Match with the options.
The third option, West to East, is correct.
\[ \boxed{\text{West to East}} \]