document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=145488>Question 145488</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534463878/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> solve the inequality 4<-z-4<11. Give the result in set 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 #106139 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=106139\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%3C-z-4%3C11 ALIGN=MIDDLE  ALT=\"4%3C-z-4%3C11\"   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=8%3C-z%3C15 ALIGN=MIDDLE  ALT=\"8%3C-z%3C15\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 4 to all sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8%3Ez%3E-15 ALIGN=MIDDLE  ALT=\"-8%3Ez%3E-15\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide every side by -1 to isolate z. Remember, dividing every side of an inequality by a negative number flips the inequality signs\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-15%3Cz%3C-8 ALIGN=MIDDLE  ALT=\"-15%3Cz%3C-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the inequality.\r<BR>\n" );
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document.write( "So the solution in interval notation is: (-15,-8)\r<BR>\n" );
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document.write( "The solution in set notation is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left\{z\|-15<z<-8\right\}\">\r<BR>\n" );
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document.write( "Now let's graph the solution set\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C50%2C-10%2C10%2C-10%2C10%2C%0D%0Anumber_line%28+500%2C+-21.5%2C+-1.5%29%2C%0D%0Ablue%28line%28-3.25%2C-7%2C3.35%2C-7%29%29%2C%0D%0Ablue%28line%28-3.25%2C-6%2C3.35%2C-6%29%29%2C%0D%0Ablue%28line%28-3.25%2C-5%2C3.35%2C-5%29%29%2C%0D%0A%0D%0Acircle%28-3.5%2C-5.8%2C0.35%29%2C%0D%0Acircle%28-3.5%2C-5.8%2C0.4%29%2C%0D%0Acircle%28-3.5%2C-5.8%2C0.45%29%2C%0D%0A%0D%0Acircle%283.5%2C-5.8%2C0.35%29%2C%0D%0Acircle%283.5%2C-5.8%2C0.4%29%2C%0D%0Acircle%283.5%2C-5.8%2C0.45%29%0D%0A%0D%0A%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Note: at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=-15 ALIGN=MIDDLE  ALT=\"z=-15\"   DISABLED_style= \"max-width:90%; height:auto;\" > there is a <font size=\"4\"><b>open</b></font>  circle (which means this point is excluded) and at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=-8 ALIGN=MIDDLE  ALT=\"z=-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > there is a <font size=\"4\"><b>open</b></font> circle (which means this point is excluded)\r<BR>\n" );
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