Solved: a. When asked to prove that the difference of any
Chapter 4, Problem 4.232(choose chapter or problem)
a. When asked to prove that the difference of any irrational number and any rational number is irrational, a student began, Suppose not. That is, suppose the difference of any irrational number and any rational number is rational. What is wrong with beginning the proof in this way? (Hint: Review the answer to exercise 11 in Section 3.2.) b. Prove that the difference of any irrational number and any rational number is irrational.
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