Question 1032014
x=number
(1/x)=reciprocal
x-(1/x) <0
x^2-1 <0, multiplying through by x.
x^2<1
x<1, x<-1 are the possibilities
x<-1, and if -2 is the number, the reciprocal is (-1/2) and the difference is less than 0. x=-1/2, reciprocal is -2, and -1/2-(-2) is >0.
x<1.  If (1/2) were used, 1/2-2 are less than 0. If (1/1000) were used, 1/1000-1000 is less than 0.
x=0; there is no number or reciprocal doesn't exist here.



(-oo,-1)U(0,1)
{{{graph(300,200,-5,5,-10,10,x-(1/x))}}}