Yes. For example, the set of odd natural numbers is a infinite subset of the set of integers.
Each integer is a whole number and each whole number is an integer. So the set of all integers is the same as the set of all whole numbers. By the equivalence of sets, integers and whole numbers are the same.
Mixed numbers and integers are different things.
The set of positive integers contains 1 but not zero. Within the set of integers, there is the subset of positive integers, the subset of negative integers and the subset with a single element in it - zero. There are a zillion other sets that could be specified that meet the conditions set down in the question. The one cited is an easy one.
No, the set of mixed numbers is a subset of the set of rational numbers. For example the mixed number 1 ¼ is the same as the improper fraction 5/4 [a rational number]. Note that it is a subset, because integers are also rational numbers, but a mixed number will not be an integer. Also, any fraction between 0 and 1 will not be a mixed number.
The set of natural numbers is a subset of the set of whole numbers. The set of whole numbers is a subset of the set of integers. So the set of integers is the largest of these three sets.
Yes. The set of whole numbers (more usually called Integers) is a strict subset of the set of Real Numbers.
Integers and whole numbers are the same thing. The sets are identical.
That's false.
Yes, and conversely. They are the same set.
The set of all positive integers is a subset of the set of all integers.
Concentric circles. The set of whole numbers is a subset of the set of integers and both of them are subsets of the set of rational numbers.
They are in the subset of integers which are greater than 1.
No. But all whole numbers are in the set of rational numbers. Natural numbers (ℕ) are a subset of Integers (ℤ), which are a subset of Rational numbers (ℚ), which are a subset of Real numbers (ℝ),which is a subset of the Complex numbers (ℂ).
Concentric circles. The set of whole numbers is a subset of the set of integers and both of them are subsets of the set of rational numbers.
A subset is a smaller set that is part of a larger set. For example, the set of animals contains the subset of reptiles, the subset of mammals, and various others. Or in mathematics, the set of real numbers contains the subset of positive integers, the subset of negative integers, the subset of rational numbers, etc.
not necessarily... An integer is a rational number, but so is any real number between consecutive integers.