document.write( "Question 998951: Solve the inequality 8/x < x-2 \n" ); document.write( "
Algebra.Com's Answer #616627 by ankor@dixie-net.com(22740)\"\" \"About 
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Solve the inequality 8/x < x-2
\n" ); document.write( "Multiply both sides by x and you have
\n" ); document.write( "8 < x(x-2)
\n" ); document.write( "8 < x^2 - 2x
\n" ); document.write( "0 < x^2 - 2x - 8
\n" ); document.write( "We can rewrite this to
\n" ); document.write( "x^2 - 2x - 8 > 0
\n" ); document.write( "Factors to
\n" ); document.write( "(x-4)(x+2) > 0
\n" ); document.write( "Two solutions
\n" ); document.write( "x > 4
\n" ); document.write( "x > -2
\n" ); document.write( ":
\n" ); document.write( "See if this is true in the original equation \n" ); document.write( "
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