Mathematics, 15.04.2020 03:33, DenniJ19

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 = . Solving this equation for n1 and simplifying the result gives that n1 = . Therefore, F is one-to-one.

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Define F: ℤ → ℤ by the rule F(n) = 2 − 3n, for each integer n. (i) Prove that F is one-to-one. Proof...