Question 1:
S = {0,1}
Is Set S closed under addition?
Why or why not?

9514 1404 393

  no; 1+1=2, a number not in the set

Step-by-step explanation:

A set is closed under addition if the addition of any two members of the set results in a member of the set.

  0 + 0 = 0 . . . in the set

  0 + 1 = 1 . . . in the set

  1 + 0 = 1 . . . in the set

  1 + 1 = 2 . . . not in the set. The set is not closed under addition.

b. 2 and 4

step-by-step explanation: