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How can we rewrite a modulus function?


New member
May 11, 2021
We can rewrite |x-3|<10 in the following way.


But can rewrite |x-3|+|x+1|+|x|<10 in the following way?


If we cannot, will anybody please explain why we cannot?


New member
Mar 27, 2017
You can't write it that way because it's not in general correct.

You can write it as a union of such rules though.

In this case it appears to be

$(x < -\dfrac 8 3) \cup (4 < x)$