document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1186358>Question 1186358</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a wall is 3m more than its witdh.<BR>\n" );
document.write( "If the area of the wall is less than 18m squared,<BR>\n" );
document.write( "What could be its lenght? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #817265 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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/cgi-bin/show-face.mpl?user=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=817265\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The problem is far more easily solved informally than with formal algebra.<br><BR>\n" );
document.write( "6 times 3 is 18, and 3 is 3 less than 6; so the maximum length is 6.<br><BR>\n" );
document.write( "The minimum length is whatever value keeps the width positive; since the width is 3 less than the length, the minimum length is 3.<br><BR>\n" );
document.write( "ANSWER: The length can be any x in the interval (3,6)<br><BR>\n" );
document.write( "Note the length can't be 6, because the area has to be LESS THAN 18 square meters; and it can't be 3, because the width would be 0 and there would be no wall.<br><BR>\n" );
document.write( "If formal algebra is required....<br><BR>\n" );
document.write( "x = length<BR>\n" );
document.write( "x-3 = width<br><BR>\n" );
document.write( "The area (length times width) has to be less than 18:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x-3%29%3C18 ALIGN=MIDDLE  ALT=\"x%28x-3%29%3C18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-3x%3C18 ALIGN=MIDDLE  ALT=\"x%5E2-3x%3C18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-3x-18%3C0 ALIGN=MIDDLE  ALT=\"x%5E2-3x-18%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-6%29%28x%2B3%29%3C0 ALIGN=MIDDLE  ALT=\"%28x-6%29%28x%2B3%29%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Algebraically, the solution is x between -3 and 6....<br><BR>\n" );
document.write( "But in the actual problem, since the width has to be positive (x-3>0 --> x>3), the real solution is that x is between 3 and 6.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );