SOLVED:Construct a contrapositive proof that for all real numbers x, if x^2-2 x ≠-1, then x ≠1.

SOLVED: A) Prove it using a CONTRAPOSITIVE PROOF. Write every step of your proof clearly. Suppose 𝑛 ∈ 𝒁, if 5𝑛 2 is odd, then 𝑛 is odd.B) Prove it using a DIRECT PROOF. You need to clearly mark your choice. Write every step of your proof clearly. If 𝑛 is an odd integer, then 𝑛^2 3𝑛 is even.C) Prove it by CONTRADICTION. You need to clearly mark your choice. Write every step of your proof clearly. Suppose 𝑛 ∈ 𝒁, if 𝑛^3 7 is odd, then 𝑛 is even.

2.12: Converse, Inverse, and Contrapositive Statements

Direct & Indirect Proof | Definition, Difference & Examples