Introduction to proofs

Use a proof by contradiction to prove that the sum of an irrational number and a rational number is irrational

As in previous cases, we start by expressing the conjecture as a conditional statement. If m is irrational and n is rational, then m+n is irrational. In this case, we must use proof by contradiction. Remember that a contradiction is a compound proposition that is always false. To give a proof by contradiction of a …

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