document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=201225>Question 201225</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please help me:\r<BR>\n" );
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document.write( "Solve the inequality.\r<BR>\n" );
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document.write( "4x/6-x (less than) x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #151441 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=151441\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the inequality. <BR>\n" );
document.write( "4x/6-x (less than) x<BR>\n" );
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document.write( "Solve the equality:<BR>\n" );
document.write( "4x/(6-x) = x<BR>\n" );
document.write( "4x = x(6-x)<BR>\n" );
document.write( "4x = 6x - x^2<BR>\n" );
document.write( "x^2 - 2x = 0<BR>\n" );
document.write( "x(x-2) = 0<BR>\n" );
document.write( "x = 0 or x = 2<BR>\n" );
document.write( "Comment x = 6, x = 0, and x = 2 are values that x cannot take.<BR>\n" );
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document.write( "Draw a number line; plot the numbers 0,2,6 on the line.<BR>\n" );
document.write( "Pick a test value in each of the 4 line intervals to see <BR>\n" );
document.write( "where the solutions lie.<BR>\n" );
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document.write( "4x/6-x (less than) x<BR>\n" );
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document.write( "Check x = -1; -4/7 < -1; false<BR>\n" );
document.write( "Check x = 1 ; 4/(5)<1 ; true<BR>\n" );
document.write( "Check x = 4 ; 16/2<4 ; false<BR>\n" );
document.write( "Check x = 8 ; 21/2 < 8 ; false<BR>\n" );
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document.write( "Solution:<BR>\n" );
document.write( "0 < x < 2<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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