document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=220734>Question 220734</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for x:<BR>\n" );
document.write( "2x+1   <3<BR>\n" );
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document.write( "x-5\r<BR>\n" );
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document.write( "I tried this:\r<BR>\n" );
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document.write( "x and x cancel eachother so its\r<BR>\n" );
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document.write( "x+1     <3<BR>\n" );
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document.write( "-5\r<BR>\n" );
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document.write( "then multiply the demonator and numerator by 5/1 so that leaves x<3??? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #165638 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=165638\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve for x:<BR>\n" );
document.write( "2x+1 <3<BR>\n" );
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document.write( "x-5 <BR>\n" );
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document.write( "(2x+1)/(x-5) < 3<BR>\n" );
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document.write( "You can see that x cannot be 5 <BR>\n" );
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document.write( "Draw a Number line and mark x = 5<BR>\n" );
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document.write( "Now check a value from each of the resulting intervals <BR>\n" );
document.write( "in the inequality to see where the solution set lies.\r<BR>\n" );
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document.write( "Check x = 0; you get: (1/1)<3 ; true, so solutions in (-inf,5)<BR>\n" );
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document.write( "Checx x = 10; you get: 21/5 < 3 ; false so no solutions in (5,+inf)<BR>\n" );
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document.write( "Let's see what it looks like:<BR>\n" );
document.write( "I'll graph the left side and the right side separately:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%282x%2B1%29%2F%28x-5%29%2C3%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%282x%2B1%29%2F%28x-5%29%2C3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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