document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=805044>Question 805044</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write |2+x| < 9 in the double-inequality form have no clue how to do this...<BR>\n" );
document.write( "also is double inequality form something like n < x < n? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #485067 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=485067\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The absolute value results in two separate inequalities.  <BR>\n" );
document.write( "The absolute value \"negates\" the negative sign of the expression.  To solve, we work on the positive and negative cases separately.<BR>\n" );
document.write( "Positive case: 2 + x < 9 -> x < 7<BR>\n" );
document.write( "Negative case: -(2 + x) < 9 -> -x - 2 < 9 -> -x < 11 -> x > -11 [sign reverses direction]<BR>\n" );
document.write( "Now we can write this is a single inequality:<BR>\n" );
document.write( "-11 < x < 7  </SPAN>\n" );
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