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Mathematics 13 Online
OpenStudy (anonymous):

Read the following conjecture. Any number that is divisible by 2 is also divisible by 6. Find a counterexample to show that the conjecture is false. A.18 B.24 C.12 D.14

OpenStudy (kainui):

What have you tried?

OpenStudy (anonymous):

Nothing... I dont get the question at all

OpenStudy (kainui):

Try your best to explain to me what you think this sentence means: "Any number that is divisible by 2 is also divisible by 6."

OpenStudy (anonymous):

any number that can be divided by 2 can also be divided by 6

OpenStudy (kainui):

Ok, good. :) So what are all the numbers that can be divided by 2? Just write out the first few numbers that come to mind.

OpenStudy (anonymous):

2,4,6,8,10,12.....

OpenStudy (kainui):

Perfect =) Alright, so going back to what you said, "any number that can be divided by 2 can also be divided by 6" so look at those numbers you have there, is what you said true or false?

OpenStudy (anonymous):

false the only numbers that can also be divided by 6 would be 6 and 12

OpenStudy (anonymous):

So D would be the answer

OpenStudy (kainui):

Yeah, exactly, good job.

OpenStudy (anonymous):

thank you :)

OpenStudy (kainui):

glad I could help! :)

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