The moon against the background of stars moves eastward, and sets daily in the western part of the sky. Why?

The angular velocity of rotation of the celestial sphere caused by the rotation of the Earth is greater than the angular velocity of the motion of the Moon in its orbit around the Earth.

Remember: The process of learning a person lasts a lifetime. The value of the same knowledge for different people may be different, it is determined by their individual characteristics and needs. Therefore, knowledge is always needed at any age and position.