document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207693>Question 1207693</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a and b.\r<BR>\n" );
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document.write( "If 2 < x < 4, then a < 1/(x - 6) < b. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #845703 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</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=845703\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "On the given interval 2 < x < 4, the function 1/(x-6) is monotonic, so the maximum and minimum values of the function on that interval are at the endpoints of the interval.<br><BR>\n" );
document.write( "x=2; 1/(x-6)=1/(-4)=-1/4<br><BR>\n" );
document.write( "x=4; 1/(x-6)=1/(-2)=-1/2<br><BR>\n" );
document.write( "Note that the function value is less (\"more negative\") at x=4, so the function value at x=4 is the lower end of the range of function values.<br><BR>\n" );
document.write( "ANSWER: a=-1/2,b=-1/4;<br><BR>\n" );
document.write( "i.e., -1/2 < 1/(x-6) < -1/4<br><BR>\n" );
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