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I have a set C which is defined as: $$ C= \{ (x|x\in \mathbb Z^+) \land ( x \pmod 3 < 2) \} $$

To find such an x, we have: $x = 3n + 1$

But what am I limited to in this case? if $ n=1 $ then $x=4$. But am I limited to positive integers less than two? Meaning: $C=\{4\}$

I'm a little confused here.

Dimitri
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1 Answers1

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$C=\{1,3,4,6,7,9,10,12,13,15,16,18,19,21,22,24,25,\dots\}$,

all positive integer $x$ belongs there which is of the form $3n$ or $3n+1$, i.e. $x \ {\tt mod}\, 3=0$ or $1$.

Berci
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