Methods of Proof: Prove the following using the methods of proof indicated. 18. If x is an odd integer, then 5x-7 is an even integer. (Use direct proof)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 27E
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Methods of Proof: Prove the following using the methods of proof indicated.
18. If x is an odd integer, then 5x – 7 is an even integer. (Use direct proof)
19. If a is an odd integer, then a² +3a+5 is odd. (Use direct proof)
20. Suppose x and y are even. If x is even, then x y is even. (Use indirect proof)
Transcribed Image Text:Methods of Proof: Prove the following using the methods of proof indicated. 18. If x is an odd integer, then 5x – 7 is an even integer. (Use direct proof) 19. If a is an odd integer, then a² +3a+5 is odd. (Use direct proof) 20. Suppose x and y are even. If x is even, then x y is even. (Use indirect proof)
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