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Which of the given are partitions of the set of real numbers

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Question: Which of these are partitions of the set of real numbers?

a) the negative real numbers, {0}, the positive real numbers

b) the set of irrational numbers, the set of rational numbers

c) the set of intervals [k, k + 1], k = ..., -2, -1, 0, 1, 2,...

d) the set of intervals (k, k + 1), k = ..., -2, -1, 0, 1, 2,...

e) the set of intervals (k, k + 1], k = ..., -2, -1, 0, 1, 2,...

f) the sets {x + n | n ∈ Z} for all x ∈ [0, 1)

Reference no: EM131574643

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