document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=881962>Question 881962</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the inequality and express the solution set in interval notation.\r<BR>\n" );
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document.write( "x^2 + 6x -16 is less than 0\r<BR>\n" );
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document.write( "Please help!\r<BR>\n" );
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document.write( "Thanks,<BR>\n" );
document.write( "Alicia </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #532638 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=532638\">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+%2B+6x+-16+%3C+0 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+6x+-16+%3C+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Find the roots or zeros for the quadratic expression.  The two roots are the critical values for the three intervals of x.  Test each interval (pick any value in each interval and test the value and find if the chosen critical value makes the inequality true or makes the inequality false).\r<BR>\n" );
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document.write( "THAT quadratic expression is factorable:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B6x-16=%28x-2%29%28x%2B8%29%3C0 ALIGN=MIDDLE  ALT=\"x%5E2%2B6x-16=%28x-2%29%28x%2B8%29%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" >;  the critical values for x are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8 ALIGN=MIDDLE  ALT=\"-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  The vertex is a minimum, and must be both between the two critical values AND below the x-axis, meaning ,<b>less than zero for y</b>.  This means that the solution for x will be the strict inequality, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28-8%3Cx%3C2%29 ALIGN=MIDDLE  ALT=\"highlight%28-8%3Cx%3C2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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