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Is it possible to take the union of infinitely many open intervals and get a closed interval?
Wiki User
∙ 6y ago
No, it is not.
Wiki User
∙ 6y ago
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Is The set 0 1 and multiplication closed?
Since that's a fairly small set, you should be able to check all combinations (for 2 numbers, there are only 4 possible multiplications), and see whether the result is in the set.
Is the set of real numbers closed under addition?
Yes. The set of real numbers is closed under addition, subtraction, multiplication. The set of real numbers without zero is closed under division.
What does it mean if an integer is closed?
You don't say that "an integer is closed". It is the SET of integers which is closed UNDER A SPECIFIC OPERATION. For example, the SET of integers is closed under the operations of addition and multiplication. That means that an addition of two members of the set (two integers in this case) will again give you a member of the set (an integer in this case).
What operations is not closed for polynomials?
division
True or False The set of whole numbers is closed under subtraction Why?
A set is closed under a particular operation (like division, addition, subtraction, etc) if whenever two elements of the set are combined by the operation, the answer is always an element of the original set. Examples: I) The positive integers are closed under addition, because adding any two positive integers gives another positive integer. II) The integers are notclosed under division, because it is not true that an integer divided by an integer is an integer (as in the case of 1 divided by 5, for example). In this case, the answer depends on the definition of "whole numbers". If this term is taken to mean positive whole numbers (1, 2, 3, ...), then the answer is no, they are not closed under subtraction, because it is possible to subtract two positive whole numbers and get an answer that is not a positive whole number (as in the case of 1 - 10 = -9, which is not a positive whole number)
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
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.
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].
What includes least and greatest value?
A closed interval.
What does closed 2 mean?
In an interval it means that the 2 is included.
Why do not you closed the interval mat with infinity?
Because infinity is not a number.
How do you write an interval in math?
Usually as a range in brackets. The curved brackets, ( and ), are used for "open" intervals, where the end points are not included. The square brackets, [ and ], are used for closed intervals where the end points are included. You can also have semi-closed brackets. For example x is in (3,5) is equivalent to 3 < x < 5 x is in [3,5] is equivalent to 3 ≤ x ≤ 5 x is in (3,5] is equivalent to 3 < x ≤ 5
