document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=355844>Question 355844</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I'm being asked to solve the inequality and graph on a number line. I'm new to this, so I'm wondering do I treat the inequality as an equation and complete the square?\r<BR>\n" );
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document.write( "x^2 + x - 9 > 3\r<BR>\n" );
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document.write( "x^2 + x + .25 > 12\r<BR>\n" );
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document.write( "(x + .5)^2 > 12\r<BR>\n" );
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document.write( "x > -.5 +/- sqrt(12)\r<BR>\n" );
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document.write( "Would this be correct? I'm getting x > 2.96 and x > -3.96, and not sure how I would put this on a number line. Any guidance you can provide is greatly appreciated!<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 #254067 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=254067\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2 + x - 9 > 3\r<BR>\n" );
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document.write( "x^2 + x + .25 > 12.25  (not 12)\r<BR>\n" );
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document.write( "(x + .5)^2 > 12.25\r<BR>\n" );
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document.write( "x > -.5 +/- 3.5 \r<BR>\n" );
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document.write( "Would this be correct? I'm getting x > 2.96 and x > -3.96<BR>\n" );
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document.write( "x^2 + x - 9 > 3<BR>\n" );
document.write( "x^2 + x - 12 > 0<BR>\n" );
document.write( "(x+4)*(x-3) > 0<BR>\n" );
document.write( "For the product to be > 0, the terms have to have the same signs.<BR>\n" );
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document.write( "(x+4) & (x-3) > 0 --> x > 3 (that makes it > -4)<BR>\n" );
document.write( "or,<BR>\n" );
document.write( "(x+4) & (x-3) < 0 --> x < -4 (which is less than +3)<BR>\n" );
document.write( "--> x < -4  or x > 3<BR>\n" );
document.write( "--> x is all real numbers except from -4 to +3 inclusive<BR>\n" );
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