Which Is a counter example to the conjecture? The product of any two consecutive integers Is a composite number. A. 3x4=12 B. 30x31=930 C. 1x2=2 D. 10x11=110

Question

Which Is a counter example to the conjecture? The product of any two consecutive integers Is a composite number. A. 3x4=12 B. 30x31=930 C. 1x2=2  D. 10x11=110

mathmate · Answer

Hint:
zero and one are  not primes.

anonymous · Answer

I know that

mathmate · Answer

Excellent!

anonymous · Answer

Is it c?

anonymous · Answer

So the answer is c?

mathmate · Answer

Explain why you choose 1x2=2 is a counter-example to the conjecture.
(note: I do not like working with letter choices, please state the value of the choice.)

anonymous · Answer

It sounded correct to me

mathmate · Answer

Sorry, math does not work like that.  Every choice has a reason, if you cannot find a reason, it's guessing, or you do not understand the question.
If it's the second case, look-up the meaning or definition of terms used in the question, and you will understand better.

anonymous · Answer

It was a guess

mathmate · Answer

Then find the meanings of "conjectures", "counter-example", "composite number", "consecutive", etc.  and you will be in a better position to make a choice.

anonymous · Answer

Why is my life almost always a stress

mathmate · Answer

If you understand all of the terms used, you can still post for help!
An advice for math:  Do not guess.  So doing is giving up your learning opportunity, and the next topic will be harder because you do not have the foundation necessary.

anonymous · Answer

I don't mean to be rude but your just stressing me out even more

mathmate · Answer

I guess the message is that I should stop nagging, which I will gladly do!
Tag me if you need further help, or tag any of the other helpers.

pooja195 · Answer

@violetbuddy you are on a site to LEARN not get answers. @mathmate is doing a great job of helping you LEARN so why not thank them for the help rather than saying "I don't mean to be rude but your just stressing me out even more" If thats the case then clearly you are on this site for only answers. That is not what this site is about find a different site if thats what you are looking for thanks!

zzr0ck3r · Answer

A composite number has divisors other than $1$ and itself.

Out of the numbers listed $12,930,2,110$ which one has only itself and $1$ as a divisor?


P.s. to all the people not actually helping;  if we send everyone to go look up definitions, then what is the point?