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Instinctlol

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I have to prove this problem. For all n integers, if n mod 5 = 3, then n

Proof: Let n be an integer such that n mod 5 = 3.

n = 5k+3 for some integer k by definition of MOD or QRT?

Which one would be correct? Am I using the definition of MOD or QRT? I'm thinking its QRT because its in the form of QRT but it could be mod since we know that 3 is the remainder by the definition of MOD. Not sure which one is correct

^{2}mod 5 = 4Proof: Let n be an integer such that n mod 5 = 3.

n = 5k+3 for some integer k by definition of MOD or QRT?

Which one would be correct? Am I using the definition of MOD or QRT? I'm thinking its QRT because its in the form of QRT but it could be mod since we know that 3 is the remainder by the definition of MOD. Not sure which one is correct

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