Carefully formulate the negations of each of the statements in 5-8. Then prove each statement by contradiction.
a. When asked to prove that the difference of any rational number and any irrational number is irrational, a student begins, "Suppose not. Suppose the difference of any rational number and any irrational number is rational." Comment.
b. Prove by contradiction that the difference of any rational number and any irrational number is irrational.
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