SOLUTION: Determine whether the sets are equal, equivalent, both, or neither
{x| x is a whole number } and
{x| x is an integer}
A. Equal
B. Both
C.Neither
D.Equivalent
Algebra.Com
Question 1119472: Determine whether the sets are equal, equivalent, both, or neither
{x| x is a whole number } and
{x| x is an integer}
A. Equal
B. Both
C.Neither
D.Equivalent
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The answer depends on whether or not you are a professional mathematician or not. To a professional mathematician, the two sets are equivalent because they have the same cardinality and they are equal because they have the exact same elements. In other words, to a professional mathematician, the terms "integer" and "whole number" are completely synonymous.
Lesser humans make the distinction that whole numbers are the non-negative subset of the integers, so would say that while the sets have the same cardinality and are therefore equivalent, there are elements of the integers that are not elements of the whole numbers and therefore the sets are NOT equal.
Please read Quora: Why are negative integers not whole numbers? for a more thorough discussion of the subject.
John
My calculator said it, I believe it, that settles it
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