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What is complements of a set?
The complement of a set refers to everything that is NOT in the set. A "universe" (a set from which elements may be taken) must always be specified (perhaps implicitly). For example, if your "universe" is the real numbers, and the set you are considering is 0
How many increasing numbers are between 100 and 1000?
This depends entirely on what you mean by numbers. Assuming you mean numbers in the set of naturals or integers, there are 899 numbers in the interval (100,1000).If on the other hand you mean how many increasing rational numbers there are between 100 and 1000, the answer is, infinitely many. The same thing goes for the increasing numbers in the reals, again there are infinitely many numbers.As a side note: due to a property of the real numbers, there are infinitely many more real numbers counting from 100 to 1000 than there are rational numbers. The proper way of saying this is that, relative to the set of real numbers, the set of rationals is a null set. In other words, even though the set of rationals has an infinite number of elements, when compared to the set of real numbers, the set of rationals has relatively no elements at all.
What consists of a set of elements called real numbers?
The grouping in which the numbers are taken does not affect the sum or product.
What is infinate set?
It's a set with an infinite quantity of elements, like the set of all real numbers, or the set of all real numbers except zero, etc.
How many numbers have an absolute value of 54?
There are two real numbers and infinitely many complex numbers.
What is complements of a set?
The complement of a set refers to everything that is NOT in the set. A "universe" (a set from which elements may be taken) must always be specified (perhaps implicitly). For example, if your "universe" is the real numbers, and the set you are considering is 0
Are undefined numbers real numbers?
By its very name .. it is UNDEFINED. Even in the Extended Real Number set containing +-infinity these elements are UNDEFINED.
Which of the following sets of numbers contains multiplicative inverses for all its elements Positive Integers Integers Rational Numbers Real Numbers?
Rational numbers and Real Numbers. The multiplicative inverses of integers are not integers.
How many increasing numbers are between 100 and 1000?
This depends entirely on what you mean by numbers. Assuming you mean numbers in the set of naturals or integers, there are 899 numbers in the interval (100,1000).If on the other hand you mean how many increasing rational numbers there are between 100 and 1000, the answer is, infinitely many. The same thing goes for the increasing numbers in the reals, again there are infinitely many numbers.As a side note: due to a property of the real numbers, there are infinitely many more real numbers counting from 100 to 1000 than there are rational numbers. The proper way of saying this is that, relative to the set of real numbers, the set of rationals is a null set. In other words, even though the set of rationals has an infinite number of elements, when compared to the set of real numbers, the set of rationals has relatively no elements at all.
What consists of a set of elements called real numbers?
The grouping in which the numbers are taken does not affect the sum or product.
What kinds of numbers would I multiply by to get answers that are slightly less than my starting number A lot less?
NO for Integers NO for Real Numbers proof 1 * any integer is not bigger than that integer nor is 0 * any integer. proof for Real Numbers is easier any real < 1 * any real > 0 is not larger than the second Real for example .5 * 1 = .5 is less than 1 or .5 * 2 = 1 less than 2 or .5 * = 1 less than 2 or -1 *3 = -3 less than 3 so all fractions times a positive Real is less than that positive Real All negative numbers times a positive Real is less than that positive Real and 0 or 1 times all positive Reals is also less than that positive Real NO NO NO is the answer
What real number is less than -1?
Many options - e.g. -2"Real number" means all the numbers we know, including positive and negative numbers.The only numbers that are not included are "imaginary numbers" - numbers that have an imaginary part i (used only i physics or high mathematics).See real-number
What is infinate set?
It's a set with an infinite quantity of elements, like the set of all real numbers, or the set of all real numbers except zero, etc.
How many numbers less than 30?
There are infinitely many: 29, 28, 27, ... 1, 0, -1, -2, -3, ...If you only want non-negative numbers, there are also infinitely many, since there are infinitely many fractions in an interval of any size. And if you include real numbers, you get an even larger (a so-called "uncountable") infinity.
Derived Set of a set of Rational Numbers?
The derived set of a set of rational numbers is the set of all limit points of the original set. In other words, it includes all real numbers that can be approached arbitrarily closely by elements of the set. Since the rational numbers are dense in the real numbers, the derived set of a set of rational numbers is the set of all real numbers.
The set of real numbers less than or equal to - 4?
Real numbers are all numbers. So the answer would be -4 and every number after that in the negative direction. So any number that is less than -4. So, -5, -6, and so on.
How can the set of real numbers be structured to show the elements that are included in the set?
It cannot be. The cardinality of the set of real numbers is the Continuum. This is greater than the total number of sub-atomic particles in the universe!
