document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=150799>Question 150799</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 120. Solve and match your result to the correct answer below.<BR>\n" );
document.write( "-10 < 30 - 8m is < or equal to 6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #110723 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=110723\">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=-10+%3C+30+-+8m+%3C=+6 ALIGN=MIDDLE  ALT=\"-10+%3C+30+-+8m+%3C=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given compound inequality.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-10-30%3C-8m%3C=6-30 ALIGN=MIDDLE  ALT=\"-10-30%3C-8m%3C=6-30\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30 ALIGN=MIDDLE  ALT=\"30\"   DISABLED_style= \"max-width:90%; height:auto;\" > from all sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-40%3C-8m%3C=6-30 ALIGN=MIDDLE  ALT=\"-40%3C-8m%3C=6-30\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-40%3C-8m%3C=-24 ALIGN=MIDDLE  ALT=\"-40%3C-8m%3C=-24\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-40%29%2F%28-8%29%3Em%3E=%28-24%29%2F%28-8%29 ALIGN=MIDDLE  ALT=\"%28-40%29%2F%28-8%29%3Em%3E=%28-24%29%2F%28-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide all sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8 ALIGN=MIDDLE  ALT=\"-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >. This 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=5%3Em%3E=3 ALIGN=MIDDLE  ALT=\"5%3Em%3E=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%3C=m%3C5 ALIGN=MIDDLE  ALT=\"3%3C=m%3C5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the inequality.\r<BR>\n" );
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document.write( "Answer:\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=3%3Cm%3C=5 ALIGN=MIDDLE  ALT=\"3%3Cm%3C=5\"   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{3,5}\"><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\{m\|3 \le m < 5\right\}\">\r<BR>\n" );
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document.write( "Here's the graph of 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%2C80%2C-2%2C+10%2C-10%2C+10%2C%0D%0Anumber_line%28+500%2C+-2%2C+10+%2C3%29%2C%0D%0A%0D%0Ablue%28line%283%2C0%2C5%2C0%29%29%2C%0D%0Ablue%28line%283%2C0.30%2C5%2C0.30%29%29%2C%0D%0Ablue%28line%283%2C0.15%2C5%2C0.15%29%29%2C%0D%0Ablue%28line%283%2C-0.15%2C5%2C-0.15%29%29%2C%0D%0Ablue%28line%283%2C-0.30%2C5%2C-0.30%29%29%2C%0D%0Acircle%285%2C0%2C0.25%29%2C%0D%0Acircle%285%2C0%2C0.20%29%0D%0A%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Graph of the solution set\r<BR>\n" );
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document.write( "Note:\r<BR>\n" );
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document.write( "There is a <b>closed</b> circle at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=3 ALIGN=MIDDLE  ALT=\"m=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > which means that we're including this value in the solution set\r<BR>\n" );
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document.write( "Also, there is an <b>open</b> circle at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=5 ALIGN=MIDDLE  ALT=\"m=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > which means that we're excluding this value from the solution set. </SPAN>\n" );
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