Question: 1. (10 points) Is the statement (Vac) (3y)x > 1 - yz + 2y = x true if the variables x and y are rational

1. (10 points) Is the statement (Vac) (3y)x > 1 - yz + 2y = x true if the variables x and y are rational numbers? Why? 2. (10 points) Is the function f : Q - Q, defined by f(x) = x3 + x one-to-one? Is it onto? 3. (10 points) Let An = (, !), for all natural numbers n 2 2. Find, with proof, UnENAn. 4. (10 points) Can the number x2 + y', when with a and y positive integers, end in 03? Why? 5 (10 points extra credit) Prove that vn2 + 3n + 2 is irrational for all n E N

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