Intervals are the spaces between two points, often used in music, mathematics, and everyday life. In music, an interval refers to the distance between two notes, which can create different feelings and moods in a song. For example, a small interval might sound happy, while a larger one can feel more dramatic. In mathematics, intervals represent a range of numbers, such as from 1 to 10. This helps us understand and work with values that fall within a specific limit. Intervals can be open or closed, depending on whether the endpoints are included, making them a useful concept in various fields.