respect to addition which property is not satisfied by a set of natural numbers
Answers
solution:
Additive identity is not present is natural numbers
Since for all "a" belongs to natural number their does not exist "b" belongs to natural numbers such
a + b = a
Therefore additive identity is not present in natural numbers.
we know that the zero is the additive identity but zero does not belongs to natural numbers that is
0 ∉ N where N is set of natural numbers
Additive inverses are not present in natural numbers
Since for all "a" belongs to natural number their does not exist "b" belongs to natural numbers such
a + b = 0
Therefore additive inverses does not exist in natural numbers
we know that the for natural number a ∈ N the additive inverse is -a
but -a does not belongs to natural numbers that is
-a ∉ N where N is set of natural numbers.