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File preview Problem 1. (2 Points) Prove, for r, y E Z, that (ry even and x + y even) (x even and y even)

File preview Problem 1. (2 Points) Prove, for r, y E Z, that (ry even and x + y even) (x even and y even) Problem 2. (2 Points) For a E R, we define the set S. = {r ER : (x 2 0Ax

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