document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=73963>Question 73963</A>: <I><SPAN STYLE=\"word-break: break-all;\"> IF f(x)=x(x+1)(x-4), USE INTERVAL NOTATION TO GIVE ALL VALUES OF x WHERE f(x)>0. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #52970 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=52970\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> IF f(x)=x(x+1)(x-4), USE INTERVAL NOTATION TO GIVE ALL VALUES OF x WHERE f(x)>0.<BR>\n" );
document.write( "Mark x=0, x=-1, and x=4 on a number line forming intervals (-inf,-1), (-1,0),<BR>\n" );
document.write( "(0,4)., (4,inf)<BR>\n" );
document.write( "Check a test value in each interval to see which interval(s) are in the solution set.<BR>\n" );
document.write( "Check x=-100; then f(x)=(-)(-)(-)<0 so no solution in (-inf,-1)<BR>\n" );
document.write( "Check x=-1/2; then f(x)=(-)(+)(-)>0 so (-1,0) is part of the solution set.<BR>\n" );
document.write( "Check x = 2 ; then f(x)=(+)(+)(-)<0 so no solutions in (0,4);<BR>\n" );
document.write( "Check x=100; then f(x)=(+)(+)(+)>0 so (4,inf) is part of the solution set.<BR>\n" );
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document.write( "Solution in interval notation: (-1,0) or (4,inf)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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