document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=54135>Question 54135</A>: <I><SPAN STYLE=\"word-break: break-all;\"> -1 less than or equal to  3 -2x  less than  11\r<BR>\n" );
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document.write( "Solve each compound inequality.  Write the solution set in interval notation and graph it.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #36459 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=36459\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The goal is to get the x all by itself in the middle, whatever you do to the middle to get x by itself you have to do to each end.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%3C=3-2x%3C11 ALIGN=MIDDLE  ALT=\"-1%3C=3-2x%3C11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1-3%3C=-3%2B3-2x%3C11-3 ALIGN=MIDDLE  ALT=\"-1-3%3C=-3%2B3-2x%3C11-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%3C=-2x%3C8 ALIGN=MIDDLE  ALT=\"-4%3C=-2x%3C8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%2F-2%3E=-2x%2F-2%3E8%2F-2 ALIGN=MIDDLE  ALT=\"-4%2F-2%3E=-2x%2F-2%3E8%2F-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >When you multiply or divide by a negative sign, flip the inequality signs.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%3E=x%3E-4 ALIGN=MIDDLE  ALT=\"2%3E=x%3E-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >Write in smaller to larger order.  Keep an eye on the inequality signs.  They still need to point to the same numbers.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28-4%3Cx%3C=2%29 ALIGN=MIDDLE  ALT=\"highlight%28-4%3Cx%3C=2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This means that x is greater than (but not equal to)-4 and less than or equal to 2.  Equal gets a bracket and not equal gets a parenthesis:<BR>\n" );
document.write( "Interval notation: (-4,2]<BR>\n" );
document.write( "Notice the similarity between the interval notation and the number line graph:<BR>\n" );
document.write( "Graph:<BR>\n" );
document.write( "<------(============]---><BR>\n" );
document.write( "-6,-5,-4,-3,-2,-1,0,1,2,3,4<BR>\n" );
document.write( "Happy Caclulating!!!  </SPAN>\n" );
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