document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=132830>Question 132830</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the solution of: -x^2+x>=-20?\r<BR>\n" );
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document.write( "Answer choices:<BR>\n" );
document.write( "A) x<=-4 or x>=5<BR>\n" );
document.write( "B) -4<=x<=5<BR>\n" );
document.write( "C) x<=-5 or x>=4<BR>\n" );
document.write( "D) -5<=x<=4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #97088 by </B><A HREF=/tutors/aboutme.mpl?userid=nycsharkman><B>nycsharkman(136)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nycsharkman><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=97088\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the solution of: -x^2+x>=-20? <BR>\n" );
document.write( "Answer choices:<BR>\n" );
document.write( "A) x<=-4 or x>=5<BR>\n" );
document.write( "B) -4<=x<=5<BR>\n" );
document.write( "C) x<=-5 or x>=4<BR>\n" );
document.write( "D) -5<=x<=4\r<BR>\n" );
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document.write( "-x^2 + x >= - 20\r<BR>\n" );
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document.write( "Bring +20 to the left side.\r<BR>\n" );
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document.write( "-x^2 + x + 20 = >= 0\r<BR>\n" );
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document.write( "-x^2 + 5x - 4x + 20 >= 0\r<BR>\n" );
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document.write( "Set into groups:\r<BR>\n" );
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document.write( "x(-x + 5) 4(-x + 5) >= 0\r<BR>\n" );
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document.write( "(x + 4) (-x + 5) > = 0\r<BR>\n" );
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document.write( "Set each factor to zero and solve for x.\r<BR>\n" );
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document.write( "x + 4 >= 0\r<BR>\n" );
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document.write( "x >= - 4\r<BR>\n" );
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document.write( "==========\r<BR>\n" );
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document.write( "NEXT:\r<BR>\n" );
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document.write( "-x + 5 >= 0\r<BR>\n" );
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document.write( "-x >= -5\r<BR>\n" );
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document.write( "We now divide both sides by -1, which is the coefficient of x.<BR>\n" );
document.write( "However, when we divide by a negative number, we MUST reverse the sign of the inequality.\r<BR>\n" );
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document.write( "x <= 5\r<BR>\n" );
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document.write( "We have this solution for x:\r<BR>\n" );
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document.write( "x >= - 4<BR>\n" );
document.write( "x <= 5\r<BR>\n" );
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document.write( "Final answer: Choice B\r<BR>\n" );
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document.write( "Is this clear?\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );