document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=156261>Question 156261</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the polynomial inequality and graph the solution set on a number line.  Express the solution set in interval notation.\r<BR>\n" );
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document.write( "5x^2-3x is greater than or equal to 8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #115188 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=115188\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Express the solution set in interval notation. <BR>\n" );
document.write( "5x^2-3x is greater than or equal to 8<BR>\n" );
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document.write( "5x^2 - 3x -8 >= 0<BR>\n" );
document.write( "5x^2 -8x+5x -8 >= 0<BR>\n" );
document.write( "x(5x-8) +(5x-8)<BR>\n" );
document.write( "(5x-8)(x+1) >= 0<BR>\n" );
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document.write( "Solve the EQUALITY:<BR>\n" );
document.write( "x = 8/5 or x = -1<BR>\n" );
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document.write( "Draw a number line: plot -1 and 8/5 on it.<BR>\n" );
document.write( "Check a test point from each resulting numberline interval in the INEQUALITY.<BR>\n" );
document.write( "Let x = -2; you get 5(-2)^2-3*-2-8 >0; true; solutions in (-inf,-1)<BR>\n" );
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document.write( "Let x = 0; you get  5*0 - 3*0 -8 > 0 ; false; no solutions in (-inf,1)<BR>\n" );
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document.write( "Let x = 2; you get 5(2)^2-3*2-8 >0 ; true; solutions in (8/5,+inf)<BR>\n" );
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document.write( "Final Answer: {x| x<=-1} U {x|x >= 8/5}<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C5x%5E2-3x-8%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C5x%5E2-3x-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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