document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=496612>Question 496612</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi Sir/ Mdm.,\r<BR>\n" );
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document.write( "I come to a question of inequalities which made me feel curious, the question and working is as below:\r<BR>\n" );
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document.write( "x-1/(x+1)&#8805; 2<BR>\n" );
document.write( "X – 1 &#8805; 2( x +1)<BR>\n" );
document.write( "x-1 &#8805; 2x +2<BR>\n" );
document.write( "x -2x &#8805;2+1<BR>\n" );
document.write( "-x &#8805; 3<BR>\n" );
document.write( "X &#8804; -3\r<BR>\n" );
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document.write( "Since X &#8804; -3, so the possible values for x will be -3,-4,-5,....\r<BR>\n" );
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document.write( "Am I right?\r<BR>\n" );
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document.write( "I test the inequalities with -3, the answer is 2&#8805; 2, so it is acceptable,\r<BR>\n" );
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document.write( "But why when I test the inequalities with - 4 and so on , the value is less than 2,\r<BR>\n" );
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document.write( "So does that mean this inequalities only have one possible value of x, that is x=-3.\r<BR>\n" );
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document.write( "So should I write my answer as X &#8804; -3, or x= -3? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #336505 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=336505\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> using hindsight from your 1st solution, x seems to be negative\r<BR>\n" );
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document.write( "this means that in the second line of the solution (where you multiplied by x+1), the direction of the inequality should have changed<BR>\n" );
document.write( "___ this sometimes happens when the sign of a quantity is unknown<BR>\n" );
document.write( "___ that's why you check at the end of a solution </SPAN>\n" );
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