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(1) Let x be a rational number and y be an irrational. Prove that 2(y-x) is...

(1) Let x be a rational number and y be an irrational. Prove that 2(y-x) is irrational

a) Briefly explain which proof method may be most appropriate to prove this statement. For example either contradiction, contraposition or direct proof

b) State how to start the proof and then complete the proof

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