Question: (5) (5 marks) Let q E Q. Prove (q)R. is a cut by proving it satisfies all parts of the definition of cut. In your

(5) (5 marks) Let q E Q. Prove (q)R. is a

(5) (5 marks) Let q E Q. Prove (q)R. is a cut by proving it satisfies all parts of the definition of cut. In your proof you may assume algebra and inequalities with rational numbers behave the way you expect. However, you may not assume there exists a rational number between any two rational numbers. If you want to use this fact, you must first give an algebraic proof of this fact

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