document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=206989>Question 206989</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the inequality\r<BR>\n" );
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document.write( "-2 < 1 - 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 #156497 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=156497\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2+%3C+1+-+x+%3C+3 ALIGN=MIDDLE  ALT=\"-2+%3C+1+-+x+%3C+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given inequality\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2-1+%3C+-+x+%3C+3-1 ALIGN=MIDDLE  ALT=\"-2-1+%3C+-+x+%3C+3-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 1 from ALL sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3+%3C+-+x+%3C+2 ALIGN=MIDDLE  ALT=\"-3+%3C+-+x+%3C+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+%3E+x+%3E+-2 ALIGN=MIDDLE  ALT=\"3+%3E+x+%3E+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply ALL sides by -1 to isolate 'x'. Don't forget to flip the signs.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%3Cx%3C3 ALIGN=MIDDLE  ALT=\"-2%3Cx%3C3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the inequality.\r<BR>\n" );
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document.write( "So the solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%3Cx%3C3 ALIGN=MIDDLE  ALT=\"-2%3Cx%3C3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the answer in interval notation is   <font size=\"8\">(</font><IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \bf{-2,3}\"><font size=\"8\">)</font>\r<BR>\n" );
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document.write( "Also, the answer in set-builder notation is  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left\{x\|-2 < x < 3\right\}\"><BR>\n" );
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