A. Prove that if n is an odd integer, then 7n - 5 is even. Give three different proofs, using direct proof, proof by contrapositive, and proof by contradiction. B. Let A and B be sets. For each statement below, determine if it is true or false. If true, prove the statement. If false, provide a counterexample. (i) A C B if and only if P(A) = P(B). (ii) P(A - B) = P(A) - P(B)

A. Prove that if n is an odd integer, then 7n - 5 is even. Give three different proofs, using direct proof, proof by contrapositive, and proof by contradiction. B. Let A and B be sets. For each statement below, determine if it is true or false. If true, prove the statement. If false, provide a counterexample. (i) A C B if and only if P(A) = P(B). (ii) P(A - B) = P(A) - P(B)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.1: Real Numbers

Problem 34E

See similar textbooks