Please explain the closure property in the following set:
1.)The set of even numbers is closed under addition.
2.) {-1,0,1} is closed under addition and multiplication.

Question

Please explain the closure property in the following set:
1.)The set of even numbers is closed under addition.
2.)    {-1,0,1} is closed under addition and multiplication.

anonymous · Answer

even+even = even

anonymous · Answer

and with the second part

-1+0 , 0+1 , -1 +1   all result in answers in the set

mathteacher1729 · Answer

Closure means you can perform the given operations on ANY elements in the set, and you will ALWAYS get back a member of that set.

anonymous · Answer

2 is not closed, since 1+1 = 2 and 2 is not in the set.

anonymous · Answer

yeh I thought that too^ , but havent done this in a while and thought it was kinda assumed given the wording of the question

anonymous · Answer

thank u =]