Let & € N. Prove by using the contra-positive that if ³ is odd then is odd. Proof: Choose which of the following statements supports this premise: [Select] [Select] x=2a implies x^3=8a^3=2(4a^3) x=a implies x^3=a^3 x=3a implics x^3-27a^3-3(9a^3)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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Let a € N. Prove by using the contra-positive that if ³ is odd then x is odd.
Proof:
Choose which of the following statements supports this premise: [Select]
[Select]
x=2a implies x^3=8a^3=2(4a^3)
x=a implies x^3=a^3
x=3a implies x^3=27a^3=3(9a^3)
8a^3=2(4a^3)
x^3= 8a^3 implies x=2a
Transcribed Image Text:Let a € N. Prove by using the contra-positive that if ³ is odd then x is odd. Proof: Choose which of the following statements supports this premise: [Select] [Select] x=2a implies x^3=8a^3=2(4a^3) x=a implies x^3=a^3 x=3a implies x^3=27a^3=3(9a^3) 8a^3=2(4a^3) x^3= 8a^3 implies x=2a
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