document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=992341>Question 992341</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A determined gardener has 110 ft of deer-resistant fence. She wants to enclose a rectangular vegetable garden in her backyard, and she wants the area that is enclosed to be at least 700 ft2. What range of values (in ft) is possible for the length of her garden? (Enter your answer using interval notation.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #612063 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=612063\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> w width, L length<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%282w%2B2L=110%2CwL%3E=700%29 ALIGN=MIDDLE  ALT=\"system%282w%2B2L=110%2CwL%3E=700%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=55-w ALIGN=MIDDLE  ALT=\"L=55-w\"   DISABLED_style= \"max-width:90%; height:auto;\" > OR  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=55-L ALIGN=MIDDLE  ALT=\"w=55-L\"   DISABLED_style= \"max-width:90%; height:auto;\" >, because initially w and L are not necessarily distinct.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=wL%3E=700 ALIGN=MIDDLE  ALT=\"wL%3E=700\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2855-L%29L%3E=700 ALIGN=MIDDLE  ALT=\"%2855-L%29L%3E=700\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-L%5E2%2B55L-700%3E=0 ALIGN=MIDDLE  ALT=\"-L%5E2%2B55L-700%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28L%5E2-55L%2B700%3C=0%29 ALIGN=MIDDLE  ALT=\"highlight_green%28L%5E2-55L%2B700%3C=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The boundary roots for the inequality:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2855%2B-+sqrt%2855%5E2-4%2A700%29%29%2F2 ALIGN=MIDDLE  ALT=\"%2855%2B-+sqrt%2855%5E2-4%2A700%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2855%2B-+15%29%2F2 ALIGN=MIDDLE  ALT=\"%2855%2B-+15%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "20  or  35\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "L is used in what becomes a quadratic inequality and in the relation formed, we must have the values BETWEEN the roots, INCLUSIVELY.  Both roots are positive, so there is no other restriction to manage:<BR>\n" );
document.write( "------------------------------------------------------------------<BR>\n" );
document.write( "Length of the garden is between  20 and 35 feet, inclusive.<BR>\n" );
document.write( "------------------------------------------------------------------ </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );