document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=232333>Question 232333</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do you solve:\r<BR>\n" );
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document.write( "1) 3x^2+8x-3<0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #171726 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=171726\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3x^2+8x-3<0<BR>\n" );
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document.write( "You never solve an inequality direcly.<BR>\n" );
document.write( "You solve the corresponding equality <BR>\n" );
document.write( "and then determine where the solutions<BR>\n" );
document.write( "are for the inequlity.<BR>\n" );
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document.write( "Solve 3x^2 + 8x -3 = 0<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "3x^2 + 9x - x - 3 = 0<BR>\n" );
document.write( "3x(x+3)-(x+3) = 0 <BR>\n" );
document.write( "(x+3)(3x-1) = 0<BR>\n" );
document.write( "x = -3 or x = 1/3<BR>\n" );
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document.write( "Draw a number line and mark x = -3 and x = 1/3<BR>\n" );
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document.write( "Check a test value in each of the three intervals to see where<BR>\n" );
document.write( "the solutions for the inequality are.<BR>\n" );
document.write( "(x+3)(3x-1) < 0<BR>\n" );
document.write( "Check x = -10; you get -*- > 0 so no solutions in (-inf,-1/3)<BR>\n" );
document.write( "Check x = 0 ; you get +*- <0 so solutions in (-3,1/3)<BR>\n" );
document.write( "Check x = 10; you get +*+ >0 so no solutions in (1/3,+inf)<BR>\n" );
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document.write( "Conclusion: (-3,1/3) contains all the solutions of the inequality.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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