Question 1207732
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{x|x cannot be 0} seems a bit vague in terms of what x is


I assume your teacher meant to write "x is a real number" either in word form or symbolic form.


Basically if |x| > 0 then x is any real number but 0.
Eg: x = 5 since |5| > 0 is true.


Why does this work? Because any real number on the number line is some positive distance away from zero.
|x| represents the distance x is from 0.


Other examples
|-27| = 27, showing -27 is 27 units away from 0.
|4| = 4, showing 4 is 4 units away from 0.


x = 0 isn't allowed unless there was an "or equal to" as part of the inequality sign.
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