How do I start? I know that an odd number can be defined at 2K+1. Would I suppose the result is odd?
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I would begin by letting the three odd numbers be: $\displaystyle x=2k_1+1$ $\displaystyle y=2k_2+1$ $\displaystyle z=2k_3+1$ where $\displaystyle k_i\in\mathbb{Z}$ and so: $\displaystyle x+y+z=?$
I think I figured it out. x = (2K+1) y = (2J+1) z = (2Q+1) = 2K+2J+2Q+3 (Factor out 2) so, 2 (K+J+Q) + 1 is odd by definition and Axiom 2. Yes?
A small point...you should have after factoring, x + y + z = 2(K + J + Q + 1) + 1.
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