Question
If 10 is removed from the set of whole numbers, is the set closed with respect to addition? Explain why or why not.
Answers
MathMate
Is the set closed under this operation?
5+5 = 10
(note that 5 ∈ℤ' and 10 ∉ℤ', where ℤ' is ℤ\10)
5+5 = 10
(note that 5 ∈ℤ' and 10 ∉ℤ', where ℤ' is ℤ\10)