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A set is a collection of objects such that you can tell whether or not it is in a set. This decision may be based on a list: {red, yellow, blue}, or description {primary pigments}. These elements need not share any characteristic: for example, {red, 3.6, Charles, water} is a set.

The universal set is simply the collection of objects from any of the sets under consideration.

Besides, all real numbers are not the largest set. The real numbers are a proper subset of the complex numbers, which are a subset of ... and so on.

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Q: Is the universal set the set of all real numbers?
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Related questions

What is a' if a equals all even numbers?

The answer depends on what the Universal set is.If the universal set is the set of all real numbers, then a' is the set of all real numbers that leave a non-zero remainder when divided by 2. Another way of defining a' is: {x | x is Real, mod(x, 2) >0}.


What is the set of numbers that includes all rational and all irrational numbers?

the set of real numbers


What is the set of numbers including all irrational and rational numbers?

real numbers


How to determine the domain set of all real numbers?

By definition, it is the set of all real numbers!


Whats the math term for the set of all numbers that are not rational?

It is the set of irrational numbers.* * * * *Though, pedantically, only if the "universal" set is the set of real numbers. A more complete answer could be all numbers in the complex field of the form x + yiwhere y≠0 or y = 0 and x is irrational.


What is universal set?

A universal set is a set that contains all the elements under consideration for a particular discussion or problem. It is used in set theory to define the range of possibilities within a given context.


What is the set of all real numbers?

The set of all real numbers (R) is the set of all rational and irrational numbers. The set R has no restrictions in its domain and so includes (-∞, ∞).


The set of all rational and irrational numbers?

Are disjoint and complementary subsets of the set of real numbers.


What is the set of the real numbers?

The set of all real numbers (R) is the set of all rational and Irrational Numbers. The set R has no restrictions in its domain and so includes (-∞, ∞).


What is a natural number that is not real?

The set of Natural Numbers is the set of 'counting numbers' {1,2,3,4,....}. All of them are also real numbers.


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.


Why is every rational number a real number?

There are rational numbers and irrational numbers. Real numbers are DEFINED as the union of the set of all rational numbers and the set of all irrational numbers. Consequently, all rationals, by definition, must be real numbers.