Weight training is a general term for working out where you are using weights.
Weight training is also called resistance training.
Weights include any free weight movement, including dumbbells and barbells. You can also use weight machines like those found at every gym.
Weight training can have multiple purpose depending on the intensity you work with.
Weight training overall can improve health, body composition, and develop general fitness.
The sport science literature is differentiating the intensity categories of weight lifting by the purpose of it.
Basically how heavy you lift will determine the outcome.
Loading recommendations for resistance training are typically prescribed along what has come to be known as the “repetition continuum”, which proposes that the number of repetitions performed at a given magnitude of load will result in specific adaptations.