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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Elementary inequality

**Physics Forums | Science Articles, Homework Help, Discussion**