OCR MEI Paper 2 Specimen — Question 11

Exam BoardOCR MEI
ModulePaper 2 (Paper 2)
SessionSpecimen
TopicProof

11 Suppose \(x\) is an irrational number, and \(y\) is a rational number, so that \(y = \frac { m } { n }\), where \(m\) and \(n\) are integers and \(n \neq 0\).
Prove by contradiction that \(x + y\) is not rational.