Question

For which operations is the set {0, 1} closed?

Choose all answers that are correct.

>A.
multiplication

B.
division

>C.
addition

D.
subtraction

Answer 1

Do you know what it means for a set to be closed for an operation?

Answer 2

First of all, am I right?

Answer 3

To answer your question, nope.

Answer 4

No.
Once again, do you know what closed for an operation means?

Answer 5

Well...you are half right...(if such a thing exists).

Answer 6

Remember that each number can be used multiple times.
For the set to be closed under addition, it means that all these additions would have to have these results in the set:
0 + 0; 0 + 1; 1 + 0; 1 + 1