Question: please help 1. Prove that there is no integer a so that a E 2 (mod 6) and a E 7 (mod 9). 2. The

please help

1. Prove that there is no integer a so that a E 2 (mod 6) and a E 7 (mod 9). 2. The equation 5y2 4:3:2 = 7 has no integer solutions. Hint: Consider the equation modulo 4. 3. Let f : X } Y be a function. Suppose that f admits an inverse function. (a) Prove the inverse function is unique. (13) Let g : Y > Z be another function with an inverse. Show that the inverse function of g o f is given by f'1 o 91 4. Prove that 13/ 25 is irrational

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