State if the following is closed under addition. If it is closed, prove and explain why. If it is not closed provide a counterexample. {3, 6, 9, 12, ...}
State if the following is closed under addition. If it is closed, prove and explain why. If it is not closed provide a counterexample. {3, 6, 9, 12, ...}
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 60RE
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Question
State if the following is closed under addition. If it is closed, prove and explain why. If it is not closed provide a counterexample.
{3, 6, 9, 12, ...}
Expert Solution
Step 1
Given that,
The set of numbers is following,
{3,6,9,12, ..........}
We have to find that the set is closed under addition or not.
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