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Please type, I have a hard time reading handwriting. Thank you very much! Problem 6 (8 points): Prove that there is no largest rational negative

Please type, I have a hard time reading handwriting. Thank you very much!

Problem 6 (8 points): Prove that there is no largest rational negative number.

Problem 8 (8 points): Prove that for real numbers x and y, x+yx+|y| .

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