document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=208131>Question 208131</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Graph the solution: |3x-1|(greater than equal to) 8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #157447 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=157447\">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=abs%283x-1%29%3C=8 ALIGN=MIDDLE  ALT=\"abs%283x-1%29%3C=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given inequality\r<BR>\n" );
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document.write( "Break up the absolute value (remember, if you have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x%29%3C=+a ALIGN=MIDDLE  ALT=\"abs%28x%29%3C=+a\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3E=+-a ALIGN=MIDDLE  ALT=\"x+%3E=+-a\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3C=+a ALIGN=MIDDLE  ALT=\"x+%3C=+a\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-1+%3E=+-8 ALIGN=MIDDLE  ALT=\"3x-1+%3E=+-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-1+%3C=+8 ALIGN=MIDDLE  ALT=\"3x-1+%3C=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the absolute value inequality using the given rule\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8+%3C=+3x-1+%3C=+8 ALIGN=MIDDLE  ALT=\"-8+%3C=+3x-1+%3C=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the two inequalities to get a compound inequality\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7+%3C=+3x+%3C=+9 ALIGN=MIDDLE  ALT=\"-7+%3C=+3x+%3C=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 1 to  all sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7%2F3+%3C=+x+%3C=+3 ALIGN=MIDDLE  ALT=\"-7%2F3+%3C=+x+%3C=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Divide all sides by 3 to isolate x\r<BR>\n" );
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document.write( "----------------------------------------------------\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So our answer is\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{-\frac{7}{3},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\|-\frac{7}{3} \le x \le 3\right\}\">\r<BR>\n" );
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document.write( "Here's the graph of the solution set on a number line:\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-12%2C+8%2C-10%2C+10%2C%0D%0Anumber_line%28+500%2C+-12%2C+8+%2C-7%2F3%2C3%29%2C%0D%0A%0D%0Ablue%28line%28-7%2F3%2C0%2C3%2C0%29%29%2C%0D%0Ablue%28line%28-7%2F3%2C0.30%2C3%2C0.30%29%29%2C%0D%0Ablue%28line%28-7%2F3%2C0.15%2C3%2C0.15%29%29%2C%0D%0Ablue%28line%28-7%2F3%2C-0.15%2C3%2C-0.15%29%29%2C%0D%0Ablue%28line%28-7%2F3%2C-0.30%2C3%2C-0.30%29%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=x=-7%2F3 ALIGN=MIDDLE  ALT=\"x=-7%2F3\"   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 a <b>closed</b> circle at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3 ALIGN=MIDDLE  ALT=\"x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > which means that we're including this value in the solution set. </SPAN>\n" );
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