(13) Label each of the following statements as true or false. Prove your answers. (a) For all real numbers b, x² + bx + 3 = 0 has a real solution, x. (b) For all positive integers m and n, there are integers x and y such that x = yn. x² + y² 2 (c) VxER, Vy € R, ≥ xy.

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