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    Mathematics
  3. Study Set
    Discrete Mathematics with Applications
  4. Exam
    Exam 4: Elementary Number Theory and Methods of Proof
  5. Question
    Prove the Following Statement by Contradiction: for All Real Numbers
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Prove the Following Statement by Contradiction: for All Real Numbers

Question 14

Question 14

Essay

Prove the following statement by contradiction: For all real numbers r and s, if r is rational and s is irrational, then r + 2s is irrational.

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Proof (by contradiction):Suppose not. Th...

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