Mixed numbers and integers are different things.
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.
Yes. For example, the set of odd natural numbers is a infinite subset of the set of integers.
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.
Yes, but not a proper subset: they are the same set.
Yes.
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.
Yes - the set of integers is a subset of the set of rational numbers.
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.
No, they are not.
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.
The set of integers is a proper subset of the set of rational numbers.
Yes.
Yes. Integers are just rational numbers of the form a/1.
Integers and whole numbers are the same thing. The sets are identical.
Natural numbers are a subset of the set of integers, among others.
Yes. For example, the set of odd natural numbers is a infinite subset of the set of integers.
That's false.