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0
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how to prove if $a|b$ and $b\neq 0$, then $|a|\leq|b|$
where the conditions are:
$a \neq 0$, $b \neq 0$ and $a$ and $b$ are integers.
maybe i'm missing something very basic about the properties of an absolute values.
My approach was to supposed, on the ...
2
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Spivak Calculus 3rd ed. $|a + b| \leq |a| + |b|$
I'm working through the first chapter of Michael Spivak's Calculus 3rd ed.
Towards the end of the chapter he proves $ |a + b| ≤ |a| + |b| $ using the observation that $|a|= \sqrt{ a^2 }$ when $a$ ...
