Re: Question on divisibility

Quote:

Originally Posted by

**sakuraxkisu** Is the following statement true in general (for integers a, b, c, d)? Justify your answer, referring to the definition of divisibility.

If a divides c and b divides d, then (a+b) divides (c+d).

Well $\displaystyle 2|4~\&~3|9$ so?

Re: Question on divisibility

I think I'm supposed to give a proof rather than examples that work, so I don't think that just stating an example would be sufficient. Would you be able to help me? Thanks

Re: Question on divisibility

Quote:

Originally Posted by

**sakuraxkisu** I think I'm supposed to give a proof rather than examples that work, so I don't think that just stating an example would be sufficient. Would you be able to help me? Thanks

**How can you prove something that is not true?**

Does $\displaystyle (2+3)|(4+9)~?$

Re: Question on divisibility

Sorry about my stupidity, I feel so silly now haha! Thanks :)