I'm looking over a proof and I'm wondering from which principles does it follow that(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \mid a - b \mid < 1 \to \mid a \mid < \mid b \mid + 1 [/tex]

I can see that [tex] |a - b | \le |a| + |-b| = |a| + |b| [/tex] and that [tex] |a| - |b| < |a| + |b| [/tex] but I just can't connect the dots.

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# Elementary inequality

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