real number problem 2

Jul 2009
68
0
prove that if a positive integer is of the form 6q + 5 then it is in the form 3 q + 2 for some integer q but not conversely.
 
Mar 2010
116
41
Bratislava
prove that if a positive integer is of the form 6q + 5 then it is in the form 3 q + 2 for some integer q but not conversely.
This one is easy.
\(\displaystyle 6q+5=3(2q+1)+2\).

The number 2 is the counterexample needed in the second part.
 
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