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What else can I help you with?
Does every set have a proper subset?
No. The null set cannot have a proper subset. For any other set, the null set will be a proper subset. There will also be other proper subsets.
Which set of numbers is not a subset of the rational numbers?
A set which contains any irrational or complex numbers.
What is a complex set?
The set of complex numbers is the set of numbers which can be described by a + bi, where a and b are real numbers, and i is the imaginary unit sqrt(-1). Since a and b can be any real number (including zero), the set of real numbers is a subset of the set of complex numbers. Also the set of pure imaginary numbers is a subset of complex number set.
Is null set a proper subset of any set?
yes, if the set being described is empty, we can talk about proper and improper subsets. there are no proper subsets of the empty set. the only subset of the empty set is the empty set itself. to be a proper subset, the subset must be strictly contained. so the empty set is an improper subset of itself, but it is a proper subset of every other set.
What set of numbers does -0.002 belong to?
Rational (ℚ) which is a subset of Real (ℝ) which is a subset of Complex (ℂ).
Set of real numbers and set of complex numbers are equivalent?
Real numbers are a proper subset of Complex numbers.
What is the difference between a set of real numbers and a set of complex numbers?
The set of real numbers is a subset of the set of complex numbers. For the set of complex numbers, given in the form (a + bi), where a and b can be any real number, the number is only a real number, if b = 0.
Which set is a subset of every set?
The empty set is a subset of all sets. No other sets have this property.
Why is it that the null set is a subset of all sets?
-- The null set is a set with no members. -- So it has no members that are absent from any other set.
Can any set be a proper set of itself?
NO- by definition a set is not a proper subset of itself . ( It is a subset, but not a proper one. )
Is a null set is always a part of a universal set?
Yes. A null set is always a subset of any set. Also, any set is a subset of the [relevant] universal set.
Why empty set or null set is subset of every set?
There is only one empty set, also known as the null set. It is the set having no members at all. It is a subset of every set, since it has no member that is not a member of any other set.
