unbounded intervals
neither endpoint is a real number
In mathematics, an interval is a set of real numbers between two endpoints, also called bounds. An unbounded interval is an interval that doesn’t have one or both endpoints, representing an infinite range of values.
There are two types of unbounded intervals: the left-unbounded interval and the right-unbounded interval. The left-unbounded interval is an interval that extends indefinitely to the left, without a defined lower bound. It is denoted by the symbol (-∞, b), where b is the endpoint to the right (finite or infinite), which serves as the upper bound. In other words, any value less than b belongs to this interval.
The right-unbounded interval, on the other hand, is an interval that extends indefinitely to the right, without a defined upper bound. It is denoted by the symbol (a, +∞), where a is the endpoint to the left (finite or infinite), which serves as the lower bound. In other words, any value greater than a belongs to this interval.
Both the left-unbounded and right-unbounded intervals are widely used in mathematical analysis, calculus, and probability theory, for instance. They are essential tools for defining functions, describing sets of real numbers, and establishing the properties of mathematical objects.
More Answers:
Understanding the Absolute Value Parent Function and its Transformations in AlgebraUnlocking the Power of Linear Equations with the Linear Parent Function.
Understanding Inequality: Exploring the 5 Key Types and Their Impact on Society