Define F: ℤ → ℤ by the rule F(n) = 2 − 3n, for each integer n. (i) Prove that F is one-to-one. Proof: Suppose n1 and n2 are any integers, such that F(n1) = F(n2). Substituting from the definition of F gives that 2 − 3n1 =

Draw a geometric diagram of this scenario using two parallel lines and one transversal. (remember that a transversal is a line which cuts across parallel lines.) label the angles, parallel lines, and transversal as indicated in the diagram above.