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Mathematics 82 Online
OpenStudy (anonymous):

Which of the following is a counterexample to the statement "All odd numbers are divisible by 3"? Answer a. 7 is a prime number b. 3 is divisible by itself c. 9 is divisible by 3 d. 8 is not divisible by 3

OpenStudy (anonymous):

A counterexample means an example that proves the statement you just made is false. Your statement says that all odd numbers are divisible by 3. So which of your choices shows you an odd number that is NOT divisible by 3? Hint: it's not B or D because B proves that your statement is true so it's not a counterexample and D has an 8 which is an even number and not odd.

OpenStudy (anonymous):

So out of choices A or C, which one proves your statement to be false?

OpenStudy (anonymous):

c?

OpenStudy (anonymous):

nno its a

OpenStudy (anonymous):

You got it :) For (A), the number 7 is an odd number. Your statement says that all odd numbers are divisible by 3. 7 is an odd number but it's not divisible by 3. So your statement was proved false, so that was a counterexample.

OpenStudy (anonymous):

Thank you so much (:

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