Let x and y be real numbers. Prove that if x is rational and y is irrational, then x + y is irrational (write in English using complete sentences, not strings of logical symbols)
Added by Pablo M.
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A rational number is a number that can be expressed as a ratio of two integers, while an irrational number cannot be expressed as such. Now, suppose x is a rational number and y is an irrational number. We want to prove that x + y is irrational. To do this, we Show more…
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