document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=23311>Question 23311</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a question that has two parts.  I am at a loss when it comes to Inequalities of this type.\r<BR>\n" );
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document.write( "A. x^2 + x > 0\r<BR>\n" );
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document.write( "B. x+3/x is < or equal to -2\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #12089 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=12089\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a bit tricky.<BR>\n" );
document.write( "A. Solve x^2+x=0 i.e. the equality .<BR>\n" );
document.write( "   x(x+1)=0<BR>\n" );
document.write( "   x = 0 or x= -1<BR>\n" );
document.write( "Now, draw a number line and mark -1 and 0 on it.<BR>\n" );
document.write( "You now see three segments on the line: one to<BR>\n" );
document.write( "the left of -1, one between -1 and 0, and one<BR>\n" );
document.write( "to the right of 0.\r<BR>\n" );
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document.write( "Now check the inequality  for a value in each<BR>\n" );
document.write( "of the segments.  For example try -10,-1/2,10.<BR>\n" );
document.write( "For x=-10, (-10)^2+(-10)>0 ?<BR>\n" );
document.write( "            100 -10> 0 ?<BR>\n" );
document.write( "                90 > 0 YES<BR>\n" );
document.write( "Therefore the inequality is true for every value<BR>\n" );
document.write( "of x<=1.<BR>\n" );
document.write( "Do the same for x=-1/2 and for x=10.\r<BR>\n" );
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document.write( "You should find the solution is x<-10 or x>10\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "stan H.<BR>\n" );
document.write( "            <BR>\n" );
document.write( " </SPAN>\n" );
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