By definition, a mixed number contains a fractional part. Also, by definition, an integer does not have a fractional part.
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A mixed number consists of a whole number and a fraction, and it cannot be represented as a single integer or whole number. In the set of integers, only whole numbers and their negative counterparts are included. Similarly, in the set of whole numbers, only positive integers and zero are included. Mixed numbers do not fit into either of these categories.
No. They would then be mixed numbers, not integers.
The set of integers includes the set of whole numbers. The set of rational numbers includes the sets of whole numbers and integers.
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.