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Mathematics 14 Online
OpenStudy (anonymous):

Which is a counterexample to this conjecture? The sum of any two consecutive integers is a composite number. A. 16 + 17 = 33 B. 10 + 11 = 21 C. 6 + 7 = 13 D. 7 + 8 = 15

OpenStudy (anonymous):

Someone please help?

OpenStudy (anonymous):

I think D. because 7 and 8 are consecutive but 15 is not composite (because it is divisible by 5 and 3) so that disproves the conjecture.

OpenStudy (anonymous):

do you know what a "counterexample" means?

OpenStudy (anonymous):

btw D is not the correct answer

OpenStudy (anonymous):

No, not really. I picked C. Is that the right answer?

OpenStudy (anonymous):

C proves the conjecture correct, a counter example makes the conjecture false

OpenStudy (anonymous):

yes it is C because a) that is an example where the sum of two consecutive integers is NOT composite and b) the answer is almost always C in a multiple choice problem

OpenStudy (anonymous):

Gee, Thanks I have one more.

OpenStudy (anonymous):

What is the least common denominator for the fractions 1/6 and 3/4 ? A. 8 B. 12 C. 18 D. 24

OpenStudy (anonymous):

Is it 12?

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