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Sammy sells cars. Last week, he sold 6 used cars to 6 different customers. Each person he sold a used car to was under the age of 35. This week, he sold a new car to a couple in their 50s. Sammy determined that only customers who are 35 and younger buy used cars. What is a counterexample to Sammy's conjecture?

Sammy sells cars. Last week, he sold 6 used cars to 6 different customers. Each person-example-1
User Xie Steven
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1 Answer

4 votes

ANSWER:

2nd option: A customer who is 38 years old buys used car

Explanation:

Sammy made that conjecture because 6 people under the age of 35 bought only used cars and one couple over the age of 35 bought a new car.

This is false because if only one person under the age of 35 buys a new car or the case where someone over 35 buys a used car, his conjecture makes no sense.

Therefore, the correct answer is:

2nd option: A customer who is 38 years old buys used car

User Anuj Rana
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