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Consider the claim that {21n : n € Z} U {14n : n € Z} C {7n : n € Z}. Consider the proof that supposes x & {7n : n € Z} and wants to show that x ‡ {21n : n ≤ Z} or x ‡ {14n : n ≤ Z}. True or False: This is a valid proof approach that would prove the claim. (This is not asking whether this is an actual proof of the result. It's asking whether this general, high-level approach would suffice to prove the result.) True False

Consider the claim that {21n : n € Z} U {14n : n € Z} C {7n : n € Z}. Consider the proof that supposes x & {7n : n € Z} and wants to show that x ‡ {21n : n ≤ Z} or x ‡ {14n : n ≤ Z}. True or False: This is a valid proof approach that would prove the claim. (This is not asking whether this is an actual proof of the result. It's asking whether this general, high-level approach would suffice to prove the result.) True False

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the claim that {21n : n € Z} U {14n : n € Z} C {7n : n € Z}. Consider the proof that supposes x & {7n : n € Z} and wants to show that x ‡ {21n : n ≤ Z} or x ‡ {14n : n ≤ Z}. True or False: This is a valid proof approach that would prove the claim. (This is not asking whether this is an actual proof of the result. It's asking whether this general, high-level approach would suffice to prove the result.) True False
Transcribed Image Text:Consider the claim that {21n : n € Z} U {14n : n € Z} C {7n : n € Z}. Consider the proof that supposes x & {7n : n € Z} and wants to show that x ‡ {21n : n ≤ Z} or x ‡ {14n : n ≤ Z}. True or False: This is a valid proof approach that would prove the claim. (This is not asking whether this is an actual proof of the result. It's asking whether this general, high-level approach would suffice to prove the result.) True False
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