(-∞,∞)
In mathematics, the notation (-∞, ∞) represents the interval that extends from negative infinity to positive infinity
In mathematics, the notation (-∞, ∞) represents the interval that extends from negative infinity to positive infinity. This interval includes all real numbers, both negative and positive, and it is often referred to as the set of all real numbers. The symbol “∞” represents infinity, which is a concept that signifies an unbounded, unlimited, or limitless value.
The interval (-∞, ∞) is used in various mathematical contexts. For example, it can be used to describe the domain or range of a function. If a function has a domain of (-∞, ∞), it means that it is defined for all real numbers. Similarly, if a function has a range of (-∞, ∞), it means that it can take on any real value.
Additionally, the interval (-∞, ∞) can be used to represent the solution set of an inequality. For instance, if we have the inequality x > 0, its solution set would be (0, ∞), indicating that all positive real numbers satisfy the inequality.
It is important to note that (-∞, ∞) does not include any imaginary or complex numbers. This interval solely encompasses real numbers, which can be positive, negative, or zero.
More Answers:
Simplifying the Derivative of sec(x) | How to Find and Simplify the Derivative of sec(x) with Respect to xDerivative of cot(x) | Applying the quotient rule and trigonometric identities to find the derivative of cot(x)
Understanding Open Intervals in Mathematics | (-10, ∞)