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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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}.
By definition, it is the set of all real numbers!
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.
Are disjoint and complementary subsets of the set of real numbers.
The set of Natural Numbers is the set of 'counting numbers' {1,2,3,4,....}. All of them are also real numbers.