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)

Database System Concepts
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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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)

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