Prove that if a positive integer is of the form $6 q + 5$ , then it is of the form $3 q + 2$ for some integer $q$ , but not conversely.

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Prove that if a positive integer is of the form

6 q + 5

, then it is of the form

3 q + 2

for some integer

q

, but not conversely.

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Question Text

Prove that if a positive integer is of the form

6 q + 5

, then it is of the form

3 q + 2

for some integer

q

, but not conversely.

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