Math Problem Statement
Prove that for every pair of rational numbers p and q with p<q, there is an irrational number r such that p<r<q.
Solution
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Math Problem Analysis
Mathematical Concepts
Number Theory
Real Numbers
Density of Rational and Irrational Numbers
Formulas
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Theorems
Density Theorem of Irrational Numbers
Density of Real Numbers
Suitable Grade Level
Grades 10-12
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