S = {(a,b) | a+b ∈ Q, a,b ∈ R}, where Q is the set of rational numbers and R…

S = {(a,b) | a+b ∈ Q, a,b ∈ R}, where Q is the set of rational numbers and R is the set of real numbers. Which of the following is True about S?

  1. A.

    S is countably infinite

  2. B.

    S is uncountable

  3. C.

    S = R × R (S contains every pair of real numbers)

  4. D.

    S is finite

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