Question 1207732
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The solution set for |x| > 0 is {x|x cannot be 0}.
Explain why.
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<pre>
Take x from the given set  {x | x =/= 0}.

Then |x| > 0.


Thus, we proved that  

    if x is from the set {x | x=/= 0}, then the inequality |x| > 0 is valid.



Vice versa, let |x| > 0.   

Any real number, different from 0, satisfies this inequality.


Thus, we proved that 

    if |x| > 0, then  x  belongs to the set  {x | x=/= 0}.  



It means that the solution set for |x| > 0  is {x | x=/=0}.
</pre>

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Solved in full and explained completely.