document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=113449>Question 113449</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with my sons Algebra II, it has been many years...\r<BR>\n" );
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document.write( "Solve the inequality algebraically\r<BR>\n" );
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document.write( "x 2 -3x-4 < 0  (that is x squared) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #82531 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=82531\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+3x+-+4+%3C+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+3x+-+4+%3C+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+4%29%28x+%2B+1%29+%3C+0 ALIGN=MIDDLE  ALT=\"%28x+-+4%29%28x+%2B+1%29+%3C+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK, I've got two things multiplied together giving me less than zero<BR>\n" );
document.write( "which means negative. This is like<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Ab+%3C+0 ALIGN=MIDDLE  ALT=\"a%2Ab+%3C+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Here are the possibilities:<BR>\n" );
document.write( "(+)*(+) = +<BR>\n" );
document.write( "(-)*(-) = +<BR>\n" );
document.write( "(+)*(-) = -<BR>\n" );
document.write( "(-)*(+) = -<BR>\n" );
document.write( "I don't want the 1st two cases, only the 2nd two.<BR>\n" );
document.write( "How do I make (x + 1) negative? By making x less than -1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3C+-1 ALIGN=MIDDLE  ALT=\"x+%3C+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "But if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3C+-1 ALIGN=MIDDLE  ALT=\"x+%3C+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, (x - 4) ends up being negative, too and I get<BR>\n" );
document.write( "the case (-)*(-) = +, and I don't want that<BR>\n" );
document.write( "So, I'll choose x so that (x - 4) is negative<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3C+4 ALIGN=MIDDLE  ALT=\"x+%3C+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > makes it negative, but I want (x + 1) to stay positive, too<BR>\n" );
document.write( "(x + 1) stays positive when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3E+-1 ALIGN=MIDDLE  ALT=\"x+%3E+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now I combine these <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1+%3C+x+%3C+4 ALIGN=MIDDLE  ALT=\"-1+%3C+x+%3C+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Notice I only can use the case (-)*(+) = -<BR>\n" );
document.write( "Hope you can follow this & hope I got it right, too </SPAN>\n" );
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