Andrew runs cross-country for his high school. He ran a sub -7-minute mile (meaning it took him 7 minutes or less to run his mile) for his first three races. Andrew will run a sub-7-minute mile for every race he runs this cross-country season.Which of the following is a counterexample to this statement? The fifth race of the season, the cross-country runners had to run during a rainstorm and muddy conditions. Due to the conditions, Andrew's mile time increased to 8-minute-miles. Andrew is a dedicated runner and runs 5 times a week; therefore, he will never run more than a 7-minute mile. Andrew's coach believes he is the fastest runner in the state. He has trained other runners that are fast, but none of them have been as dedicated as Andrew. Andrew is the fastest runner on the team, so he will never run more than a 7-minute mile.

The question is asking for a counterexample to the statement that Andrew will run a sub-7-minute…

Answered: Andrew runs cross-country for his high…

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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Andrew runs cross-country for his high school. He ran a sub -7-minute mile (meaning it took him 7 minutes or less to run his mile) for his first three races. Andrew will run a sub-7-minute mile for every race he runs this cross-country season.

Which of the following is a counterexample to this statement?

	The fifth race of the season, the cross-country runners had to run during a rainstorm and muddy conditions. Due to the conditions, Andrew's mile time increased to 8-minute-miles.
	Andrew is a dedicated runner and runs 5 times a week; therefore, he will never run more than a 7-minute mile.
	Andrew's coach believes he is the fastest runner in the state. He has trained other runners that are fast, but none of them have been as dedicated as Andrew.
	Andrew is the fastest runner on the team, so he will never run more than a 7-minute mile.