Question

prove that if a positive integer is of the form 6q+5 then it is of the form 3q+2,for sum integer q but not conversely

Answer 1

Hello friend!!

For some integer m, 
6q + 5 = 3m + 2 
=> 3m = 6q + 3 
=> m = 2q + 1 
=> 
m = 2 for q = 1/2 
m = 3 for q = 1 

Thus, in fact, there are infinite values of m satisfying the given equation.

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