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Refer to your work from problems 11‑21 and 11‑26.

  1. In problem 11‑21, you found the sums of three pairs of rational numbers. Was each sum a rational number? Justify your answer.

    Yes, each sum was a fraction and therefore a rational number.

  2. Will that always be true? In other words, is the set of rational numbers closed under addition? Justify your answer. Hint: What is ?