SOLUTION: Give an example for non zero real numbers is not closed under subtraction r

Question 991505: Give an example for non zero real numbers is not closed under subtraction r
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
by definition, if the operation produces even one element outside of the set, the operation is closed
set of natural numbers is closed under subtraction
example: let and , then => is element of
is subset of the set of real numbers
note:
Real Numbers include:
Whole Numbers (like , , , , , etc)
Rational Numbers (like , , ..., , etc )
Irrational Numbers (like , sqrt(3), etc )
One subset of Real Numbers is counting (or natural) numbers. This subset includes all the numbers we count with starting with "" to infinity. The subset would look like this:
{ , ,, , ...}
Another subset is whole numbers. This subset is exactly like the subset of counting numbers, with the addition of one extra number. This extra number is "". The subset would look like this:
{ , , ,, , ...}
so, your answer is set or you can choose set of whole numbers

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