document.write( "Question 1032014: a number minus its reciprocal is less than zero. find the numbers and answer in interval notaion \n" ); document.write( "

Algebra.Com's Answer #646702 by Boreal(15235) $\"\"$ $\"About$

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x=number
\n" ); document.write( "(1/x)=reciprocal
\n" ); document.write( "x-(1/x) <0
\n" ); document.write( "x^2-1 <0, multiplying through by x.
\n" ); document.write( "x^2<1
\n" ); document.write( "x<1, x<-1 are the possibilities
\n" ); document.write( "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.
\n" ); document.write( "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.
\n" ); document.write( "x=0; there is no number or reciprocal doesn't exist here.\r
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\n" ); document.write( "\n" ); document.write( "(-oo,-1)U(0,1)
\n" ); document.write( " $\"graph%28300%2C200%2C-5%2C5%2C-10%2C10%2Cx-%281%2Fx%29%29\"$ \n" ); document.write( "

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