Which is Simpler: |k|=5 or k=±5?

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The discussion centers on the comparison between the expressions |k| = 5 and k = ±5 in terms of simplicity and relevance. It concludes that k = ±5 is preferable for graphing functions, such as f(k) = k² - 25, where two solutions are evident. Conversely, |k| = 5 is more suitable for physical contexts where magnitude is emphasized. The choice between these expressions depends on the specific application and clarity required.

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Which is "simpler"?---i.e., considered more "simplfied" ?

[tex]\left| k \right| = 5[/tex] OR [tex]k = \pm 5[/tex] ?
 
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It's really about relevance. For example if it is a matter of drawing a graph like [itex]f(k) = k^2 - 25[/itex] and you want to express the fact at the point f(k) = 0 there are two solutions you would probably write [itex]k = \pm 5[/itex].

However, if it is something physical like and related to magnitude you might want to express it as [itex]|k| = 5[/itex]
 

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