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Is it possible to take the union of two open intervals and get a closed interval?

No.


Is it possible to take the union of two closed intervals and get an open interval?

aye


What is a interval in math?

In mathematics, an interval is a set of numbers that contains all numbers between any two numbers in that set. Intervals can be classified as open (excluding the endpoints), closed (including the endpoints), or half-open (including one endpoint but not the other). For example, the interval [a, b] is closed and includes the endpoints a and b, while (a, b) is open and does not include them. Intervals are commonly used to represent ranges of values on the number line.


This is a continuous set of numbers. Every real number from the starting value to the ending value is included. It is called an?

This is called an interval. An interval includes all real numbers between a specified starting value and ending value, which can be expressed in various forms such as closed intervals (including the endpoints), open intervals (excluding the endpoints), or half-open intervals. Intervals can be finite or infinite, depending on the values specified.


Is Closed interval finite?

Assuming its endpoints are not equal, a closed interval of the real number line a has an infinite number of real numbers in it. Closed intervals of other ordered sets can have either a finite or an infinite number of elements. I am not sure I answered your question because I am not exactly sure what you are asking. Could you be more specific? Are you talking about a closed interval of the real number line or closed interval of some other ordered set? By finite do you mean 'containing a finite number of elements' or do you mean 'bounded by a finite number'.


Differentiate a closed interval from an open interval?

Open interval does not include its end points while closed interval includes


The interval notation for the interval of real numbers?

There is more than one notation, but the open interval between a and b is often written (a,b) and the closed interval is written [a,b] where a and b are real numbers. Intervals may be half open or half closed as well such as [a,b) or (a,b]. For all real numbers, it is (-infinity,+infinity), bit use the infinity symbol instead (an 8 on its side).


Define intervals on the number scale?

An interval on the number scale is a set of numbers between two end-point. Thus the closed interval [a, b] comprises all number between a and b as well as the two end points. An interval is open if neither end point is included, and semi-open (or semi-closed) if one end in included and the other is not.


Will you find the number 89 in the interval 79-89?

Yes, if it is the closed interval. No, if it is the open interval.


Is a function that is continuous over a finite closed interval not have a maximum or a minimum value over that interval?

A function that is continuous over a finite closed interval must have both a maximum and a minimum value on that interval, according to the Extreme Value Theorem. This theorem states that if a function is continuous on a closed interval ([a, b]), then it attains its maximum and minimum values at least once within that interval. Therefore, it is impossible for a continuous function on a finite closed interval to not have a maximum or minimum value.


What does an interval look like?

An interval in mathematics is a set of numbers that contains all numbers between any two numbers in the set. It can be represented on a number line as a continuous section between two points, often denoted in notation such as [a, b] for a closed interval (including endpoints a and b) or (a, b) for an open interval (excluding endpoints). Intervals can also be infinite, like (-∞, b) or (a, ∞). Visually, an interval appears as a line segment or ray depending on its type.


What are the limitation of the probability?

Probability of an even must lie in the closed interval [0, 1].Probability of an even must lie in the closed interval [0, 1].Probability of an even must lie in the closed interval [0, 1].Probability of an even must lie in the closed interval [0, 1].