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Question: exercise 2 1 to say that set z is dense...

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Exercise 2. 1 To say that set Z is dense in R means that between any two points of R there is a point of Z. Express this using quantifiers. (2) Express using quantifiers what it means for Z CR not to be dense. (3) A set Z C R is somewhere dense in R if there is an interval (a, b) such that between any two points of (a, b) there is a point of Z. Express this using quantifiers. 4) Express using quantifiers what it means for Z S R not to be somewhere dense.

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