document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=419740>Question 419740</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve<BR>\n" );
document.write( "(x+5)(x-4)(x+4)>0<BR>\n" );
document.write( "a the solution set is<BR>\n" );
document.write( "b the solution is all real numbers<BR>\n" );
document.write( "c there is no solution </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #293453 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=293453\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> dividing by the other 2 factors reduces this equation to:\r<BR>\n" );
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document.write( "x+5 > 0<BR>\n" );
document.write( "x+4 > 0<BR>\n" );
document.write( "x-4 >0\r<BR>\n" );
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document.write( "this makes the solution set any of:\r<BR>\n" );
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document.write( "x > -5<BR>\n" );
document.write( "x > -4<BR>\n" );
document.write( "x > 4\r<BR>\n" );
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document.write( "this implies that x > 4 is one of the solutions.\r<BR>\n" );
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document.write( "x > -4 and x > -4 should also be one of the solutions, but you have to be careful with the signs.\r<BR>\n" );
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document.write( "you have 3 factors.\r<BR>\n" );
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document.write( "if all of the factors are positive, then the answer is > 0.<BR>\n" );
document.write( "if all of the factors are negative, then the answer is < 0<BR>\n" );
document.write( "if any of the factors is equal to 0, then the answer is = 0.<BR>\n" );
document.write( "if one of the factors is negative and one is positive, then the answer is > 0.<BR>\n" );
document.write( "if one of the factors is positive and two of the factors are negative, then the answer is < 0.\r<BR>\n" );
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document.write( "the easiest way to see what is happening is to graph this equation.\r<BR>\n" );
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document.write( "this might be considered cheating, but it's the quickest way to show you what is happening.\r<BR>\n" );
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document.write( "the graph of this equation looks like this:\r<BR>\n" );
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document.write( "from this graph, you can see that it looks like the equation is > 0 when:\r<BR>\n" );
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document.write( "x > 4<BR>\n" );
document.write( "x > -5 <BR>\n" );
document.write( "x < -4\r<BR>\n" );
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document.write( "anywhere else, the equation is negative.\r<BR>\n" );
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document.write( "to test this out, you need to solve for individual values of x to see what happens to the equation.\r<BR>\n" );
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document.write( "i'll use excel to create a table for you so you can see what the results would be easy enough.\r<BR>\n" );
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document.write( "without this table, you would have to test at:\r<BR>\n" );
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document.write( "x = -5, x = -4, x = 4<BR>\n" );
document.write( "x = some value less than -5.<BR>\n" );
document.write( "x = some value between -5 and -4<BR>\n" );
document.write( "x = some value between x = -4 and x = 4<BR>\n" );
document.write( "x = some value greater than 4\r<BR>\n" );
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document.write( "you'll see these values from the table.\r<BR>\n" );
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document.write( "x	f(x)	 f(x) > 0\r\n" );
document.write( "-6	-20	\r\n" );
document.write( "-5.5	-7.125	\r\n" );
document.write( "-5	0	\r\n" );
document.write( "-4.5	2.125	 ***** IS > 0\r\n" );
document.write( "-4	0	\r\n" );
document.write( "-3.5	-5.625	\r\n" );
document.write( "-3	-14	\r\n" );
document.write( "-2.5	-24.375	\r\n" );
document.write( "-2	-36	\r\n" );
document.write( "-1.5	-48.125	\r\n" );
document.write( "-1	-60	\r\n" );
document.write( "-0.5	-70.875	\r\n" );
document.write( "0	-80	\r\n" );
document.write( "0.5	-86.625	\r\n" );
document.write( "1	-90	\r\n" );
document.write( "1.5	-89.375	\r\n" );
document.write( "2	-84	\r\n" );
document.write( "2.5	-73.125	\r\n" );
document.write( "3	-56	\r\n" );
document.write( "3.5	-31.875	\r\n" );
document.write( "4	0	\r\n" );
document.write( "4.5	40.375	 ***** IS > 0\r\n" );
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document.write( "</PRE>\r<BR>\n" );
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document.write( "from this table, you can see that:\r<BR>\n" );
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document.write( "when x is greater than -5 and less than -4, the value of the equation is positive.\r<BR>\n" );
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document.write( "when x is greater than 4, the value of the equation is positive.\r<BR>\n" );
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document.write( "that's your answer.\r<BR>\n" );
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document.write( "the answer would be that the value of the equation is > 0 when:\r<BR>\n" );
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document.write( "-5 < x < -4 or x > 4\r<BR>\n" );
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document.write( "when x = -5 or x = -4 or x = 4, the value of the equation is equal to 0 which is not > 0.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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