document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=622115>Question 622115</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to write this in interval and set builder notation.  I also have to write it out on a number line and this whole topic is a little confusing for me\r<BR>\n" );
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document.write( "If you could show work that would be great, thank you.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #391136 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=391136\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "1.  Find the two roots of the analogous quadratic equation and plot the two points.  This quadratic is guaranteed to have two distinct real roots because it is not a perfect square and the signs on the lead coefficient and the constant term are opposite.\r<BR>\n" );
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document.write( "2.  Note that you have divided the <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x\">-axis into 3 intervals.\r<BR>\n" );
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document.write( "3.  Pick a value from each one of the intervals.  It doesn't matter what the values are so long as they are NOT the endpoints of the interval.\r<BR>\n" );
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document.write( "4.  Evaluate the original inequality for each of the three values chosen in step 3.\r<BR>\n" );
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document.write( "5.  The interval or intervals that supply the value(s) that make the original inequality true is(are) the interval(s) that comprise the solution set.\r<BR>\n" );
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document.write( "6.  Since the original inequality is exclusive of equality (i.e. <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE <\"> vice <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \leq\">) use parentheses to mark your endpoints when you specify the interval using interval notation.  Your set builder expression must also use <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE <\"> vice <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \leq\">.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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