Quote:
Originally Posted by TheDon
so I was correct but I didn't conclude.
So what would my conclusion look like.. math symbols or just saying "x cannot be an integer because for every 2k+1/3, there is no x such that x belongs to Z"
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A proof won't be considered "correct" simply because your conclusion appears the same. You need to define the criteria the equation needs, then show your work on how the equation meets that criteria, then conclude.
The level of documentation really depends on your teacher. Showing your work is important. It's been a long time since I've done proofs, but something like the following may work.
"Therefore, for 3x ~ 1 mod 6; x {insert symbol for not a member of} Z" or
"Therefore, 3x {insert symbol for not congruent to} 1 mod 6"
Either of these conclusions are true and prove the original is not correct, but it depends on which is most satisfactory to your teacher