Question: Exercise 1.31. In Rn , Let R denotes the set of points having only rational coordinates and l its complements , that is , the

Exercise 1.31. In Rn , Let R denotes the set of points having only rational coordinates and l its complements , that is , the set of points having at least one irrational coordinate. Then prove that R = l = empty Let R be the same as in Exercise 1.31. Prove that Every nonempty open set in Rn contains a member of R. Every nonempty open set in Rn contains infinitely many members of R. Solve this

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