document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=309091>Question 309091</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Using the standard window settings, Emily graphed y=x^3+3x^2-x-3 on her graphing calculator. She then used her graph to correctly solve the inequality x^3+3x^3>- x+3. What is her solution. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #220996 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=220996\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I think you mean <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3%2B3x%5E2%3E-x%2B3 ALIGN=MIDDLE  ALT=\"x%5E3%2B3x%5E2%3E-x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which equates to <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3%2B3x%5E2%2Bx-3%3E0 ALIGN=MIDDLE  ALT=\"x%5E3%2B3x%5E2%2Bx-3%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So look for the intervals when the function is greater than zero because then it satisfies the inequality,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3%2B3x%5E2%3E-x%2B3 ALIGN=MIDDLE  ALT=\"x%5E3%2B3x%5E2%3E-x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+x%5E3%2B3x%5E2%2Bx-3%2Cx%5E3%2B3x%5E2%2C-x%2B3+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "The red line is the original function, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3%2B3x%5E2%2Bx-3 ALIGN=MIDDLE  ALT=\"x%5E3%2B3x%5E2%2Bx-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The green line is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3%2B3x%5E2 ALIGN=MIDDLE  ALT=\"x%5E3%2B3x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The blue line is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%2B3 ALIGN=MIDDLE  ALT=\"-x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "When the red line is above zero is equal to when the green line is above the red line. <BR>\n" );
document.write( "The x value that corresponds to when the inequality holds is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E0.7693 ALIGN=MIDDLE  ALT=\"x%3E0.7693\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );