document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=362462>Question 362462</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 6x^2-5x-1/12x^2-11x+2 is less than 0  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #258316 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=258316\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 6x^2-5x-1/12x^2-11x+2 is less than 0 <BR>\n" );
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document.write( "Factor:<BR>\n" );
document.write( "[(6x+1)(x-1)]/[(3x-2)(4x-1)] < 0<BR>\n" );
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document.write( "Find the boundary values for the inequality<BR>\n" );
document.write( "which are the solutions to the EQUALITY.<BR>\n" );
document.write( "Those values are x = -1/6 and x = 1<BR>\n" );
document.write( "Also take note of indeterminate values.<BR>\n" );
document.write( "Those are x = 2/3 and x = 1/4<BR>\n" );
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document.write( "Draw a number line and plot the boundary values:<BR>\n" );
document.write( "....-1/6....1/4....2/3....1....<BR>\n" );
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document.write( "To find the solutions for the inequality, test<BR>\n" );
document.write( "a value from each of the three bounded intervals<BR>\n" );
document.write( "in the inequality.<BR>\n" );
document.write( "[(6x+1)(x-1)]/[(3x-2)(4x-1)] < 0\r<BR>\n" );
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document.write( "If x = -1 you get: (-*-)/(-*-) < 0; this is false<BR>\n" );
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document.write( "If x = 0 you get: (+*-)/(-*-) < 0: true, so solutions in (-1/6,1/4)<BR>\n" );
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document.write( "Do the same for x = 1/3 , for x = 5/6, and x = 1<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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