7. Consider the statement: for all integers a and b, if a is even and b is a multiple of 3, then ab is a multiple of 6. (a) Prove the statement. What sort of proof are you using? (b) State the converse. Is it true? Prove or disprove.
7. Consider the statement: for all integers a and b, if a is even and b is a multiple of 3, then ab is a multiple of 6. (a) Prove the statement. What sort of proof are you using? (b) State the converse. Is it true? Prove or disprove.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 34E
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Transcribed Image Text:7. Consider the statement: for all integers a and b, if a is even and b is a
multiple of 3, then ab is a multiple of 6.
(a) Prove the statement. What sort of proof are you using?
(b) State the converse. Is it true? Prove or disprove.
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