Question

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

Answer 1

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Answer:

  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.