document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=142990>Question 142990</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28%282x-1%29%2F3%29%3E=5%2F6 ALIGN=MIDDLE  ALT=\"abs%28%282x-1%29%2F3%29%3E=5%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #104042 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=104042\">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=abs%28%282x-1%29%2F3%29%3E=5%2F6 ALIGN=MIDDLE  ALT=\"abs%28%282x-1%29%2F3%29%3E=5%2F6\"   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%3E=a ALIGN=MIDDLE  ALT=\"abs%28x%29%3E=a\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <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;\" > or <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;\" >)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x-1%29%2F3+%3C=+-5%2F6 ALIGN=MIDDLE  ALT=\"%282x-1%29%2F3+%3C=+-5%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x-1%29%2F3+%3E=5%2F6 ALIGN=MIDDLE  ALT=\"%282x-1%29%2F3+%3E=5%2F6\"   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=6%28%282x-1%29%2Fcross%283%29%29+%3C=+6%28-5%2Fcross%286%29%29 ALIGN=MIDDLE  ALT=\"6%28%282x-1%29%2Fcross%283%29%29+%3C=+6%28-5%2Fcross%286%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%28%282x-1%29%2Fcross%283%29%29+%3E=+6%285%2Fcross%286%29%29 ALIGN=MIDDLE  ALT=\"6%28%282x-1%29%2Fcross%283%29%29+%3E=+6%285%2Fcross%286%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by the LCD 6 to clear the fractions\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%282x-1%29+%3C=+-5 ALIGN=MIDDLE  ALT=\"2%282x-1%29+%3C=+-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%282x-1%29+%3E=+5 ALIGN=MIDDLE  ALT=\"2%282x-1%29+%3E=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute and multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-2+%3C=+-5 ALIGN=MIDDLE  ALT=\"4x-2+%3C=+-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-2+%3E=+5 ALIGN=MIDDLE  ALT=\"4x-2+%3E=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute again\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C=+-3%2F4 ALIGN=MIDDLE  ALT=\"x%3C=+-3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3E=+7%2F4 ALIGN=MIDDLE  ALT=\"x+%3E=+7%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Isolate x in each case\r<BR>\n" );
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document.write( "So our solution is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C=+-3%2F4 ALIGN=MIDDLE  ALT=\"x%3C=+-3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3E=+7%2F4 ALIGN=MIDDLE  ALT=\"x+%3E=+7%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "which looks like this in interval notation\r<BR>\n" );
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document.write( "<font size=\"8\">(</font><IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \bf{-\infty,-\frac{3}{4}}\"><font size=\"8\">]</font><IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \cup\"><font size=\"8\">[</font><IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{7}{4},\infty\"><font size=\"8\">)</font> </SPAN>\n" );
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