[Solution]Logic And Algorithms

1. Prove: For any integers x and y, if x is even, then xy is even. 2. Prove: For any integer x, if x 3−1…

1. Prove: For any integers x and y, if x is even, then xy is even.
2. Prove: For any integer x, if x 3−1 is even, then x is odd.
3. Prove: For every positive rational number x, there exists a positive rational number y such that y < x.

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