Which is Simpler: |k|=5 or k=±5?

[bomba923]

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

$$\left| k \right| = 5$$ OR $$k = \pm 5$$ ?

 

[Zurtex]

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

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

 

[tacman]

Both expressions are equally simple and simplified. They both represent the same concept, which is the absolute value of k being equal to 5. The only difference is the notation used. The first expression uses the absolute value notation, while the second expression uses the plus-minus notation. Both notations are commonly used and understood, so it ultimately comes down to personal preference or the context in which the expression is being used. In terms of simplicity, they are both considered to be equally simplified and straightforward.