document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1115326>Question 1115326</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the inequality   x^ 2 – 7x < - 10 . Write your answer using interval notation. \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #730204 by </B><A HREF=/tutors/aboutme.mpl?userid=arunav_11><B>arunav_11(1)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=arunav_11><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=730204\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2-7x+10<0<BR>\n" );
document.write( "(x-2)(x-5)<0<BR>\n" );
document.write( "Now for the above equation to be true x-2 and x-5 should <BR>\n" );
document.write( "be of opposite signs simultaneously.<BR>\n" );
document.write( "Now when x<2, then both factors are negative therefore the whole equation is positive.<BR>\n" );
document.write( "Therefore it is not a part of the solution.<BR>\n" );
document.write( "When 5>x>2 (x-2)>0 and (x-5)<0 <BR>\n" );
document.write( "therefore the above equation is negative 5<x<2 is a part of the solution.<BR>\n" );
document.write( "When x>5 both <BR>\n" );
document.write( "the factors are <BR>\n" );
document.write( "positive <BR>\n" );
document.write( "therefore it is <BR>\n" );
document.write( "not a part of the solution.<BR>\n" );
document.write( "Hence the solution is <BR>\n" );
document.write( "5<x<2 or <BR>\n" );
document.write( "x=(2,5).   </SPAN>\n" );
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