document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=992340>Question 992340</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 20/x+1 -( x/2)  +1 is less than or equal to 0 \r<BR>\n" );
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document.write( "Can someone help me with this one, please? Once I go into factoring, i lose myself. <BR>\n" );
document.write( "Solve the nonlinear inequality. Express the solution using interval notation. </SPAN>\n" );
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document.write( "20/(x+1) -( x/2)  +1 <= 0 <BR>\n" );
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document.write( "Assuming x > -1 (to keep x+1 > 0), you get:<BR>\n" );
document.write( "40 - x(x+1) < 0<BR>\n" );
document.write( "40 - x^2 - x < 0<BR>\n" );
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document.write( "x^2 + x - 40 > 0<BR>\n" );
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document.write( "Solve the EQUALITY::<BR>\n" );
document.write( "x = [-1+-sqrt(1-4*-40)]/2<BR>\n" );
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document.write( "x = [-1 +- sqrt(161)]/2<BR>\n" );
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document.write( "These are the zero values of the quadratic.<BR>\n" );
document.write( "The values greater than zero are to the left of [-1-sqrt(161)]/2<BR>\n" );
document.write( "and to the right of [-1+sqrt(161)]/2<BR>\n" );
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document.write( "ans: Since x > -1, the solution is x > [-1+sqrt(161)]/2<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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