document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=289050>Question 289050</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, <BR>\n" );
document.write( "I have a question about how to solve this equation: 2+x>15/x.\r<BR>\n" );
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document.write( "This is how I would solve it:<BR>\n" );
document.write( "2x+x^2>15<BR>\n" );
document.write( "x^2+2x-15>0<BR>\n" );
document.write( "(x+5)(x-3)>0<BR>\n" );
document.write( "with a result of x>-5 or x<3<BR>\n" );
document.write( "So the answer would be (-5,0),(3, infinity)....\r<BR>\n" );
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document.write( "Yet, I think I missed something in my steps for solving the equation...because once, when I redid the equation, I found the answer to be (-infinity,-5),(0,3).\r<BR>\n" );
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document.write( "Could you please help me find the correct solution?<BR>\n" );
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 #209449 by </B><A HREF=/tutors/aboutme.mpl?userid=dabanfield><B>dabanfield(803)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dabanfield><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=209449\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I have a question about how to solve this equation: 2+x>15/x. <BR>\n" );
document.write( "This is how I would solve it:<BR>\n" );
document.write( "2x+x^2>15<BR>\n" );
document.write( "x^2+2x-15>0<BR>\n" );
document.write( "(x+5)(x-3)>0<BR>\n" );
document.write( "with a result of x>-5 or x<3<BR>\n" );
document.write( "So the answer would be (-5,0),(3, infinity).... <BR>\n" );
document.write( "Yet, I think I missed something in my steps for solving the equation...because once, when I redid the equation, I found the answer to be (-infinity,-5),(0,3). \r<BR>\n" );
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document.write( "GREAT START!\r<BR>\n" );
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document.write( "(x+5)(x-3) > 0 when 1.)both factors are positive or when 2.)both factors are negative.\r<BR>\n" );
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document.write( "So for situation 1.):\r<BR>\n" );
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document.write( "x+5 > 0 AND x-3 > 0\r<BR>\n" );
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document.write( "That is when x > -5 AND x > 3 which is the open interval (3, infinity)\r<BR>\n" );
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document.write( "For situation 2.):\r<BR>\n" );
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document.write( "x+5 < 0 AND x-3 < 0\r<BR>\n" );
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document.write( "That is x < -5 AND x < 3 which is the open interval (-infinity, -5)\r<BR>\n" );
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document.write( "The total solution set is the union of (-infinity, -5) union (3, infinity). </SPAN>\n" );
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