document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=543446>Question 543446</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the polynomial inequality and graph the solution set on a number line. Express the solution set in interval notation.<BR>\n" );
document.write( "(x+3)(x-3)(x-5)<0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #354831 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=354831\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the polynomial inequality and graph the solution set on a number line. Express the solution set in interval notation.<BR>\n" );
document.write( "(x+3)(x-3)(x-5)<0<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Number line<BR>\n" );
document.write( "<....-...-3.....+......3.....-.....5...+.....><BR>\n" );
document.write( "Explanation for number line:<BR>\n" );
document.write( "For x>5, it can easily be seen that the function>0<BR>\n" );
document.write( "Moving to the left thru the zeros, sign of the intervals will switch each time we go thru a zero of odd multiplicity like 1, 3, 5, etc. Zeros of given problem are all of multiplicity 1. Most  teachers use a chart to show this, but I have found this to be a faster and simpler way.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "In interval notation:<BR>\n" );
document.write( "solution: (-&#8734;,-3) U (3, 5) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );