Question: Please provide proper reasoning 1. Prove that for all real numbers x and y, if x+y2, then either x1 or y1. (15 pts) 2. Consider

Please provide proper reasoning

1. Prove that for all real numbers x and y, if x+y2, then either x1 or y1. (15 pts) 2. Consider the following theorem: (20pts) "For an integer n, if n is odd, then n3 is odd." (a) Verify that the theorem is true using direct proof. (b) Prove the Converse of the theorem

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