document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=119825>Question 119825</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the absolute value of 1/2x - 1 < 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #87813 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=87813\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28%281%2F2%29x-1%29%3C1 ALIGN=MIDDLE  ALT=\"abs%28%281%2F2%29x-1%29%3C1\"   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=%281%2F2%29x-1+%3E+-1 ALIGN=MIDDLE  ALT=\"%281%2F2%29x-1+%3E+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29x-1+%3C+1 ALIGN=MIDDLE  ALT=\"%281%2F2%29x-1+%3C+1\"   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=-1+%3C+%281%2F2%29x-1+%3C+1 ALIGN=MIDDLE  ALT=\"-1+%3C+%281%2F2%29x-1+%3C+1\"   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=0+%3C+%281%2F2%29x+%3C+2 ALIGN=MIDDLE  ALT=\"0+%3C+%281%2F2%29x+%3C+2\"   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=0+%3C+x+%3C+4 ALIGN=MIDDLE  ALT=\"0+%3C+x+%3C+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply all sides by 2 to isolate x\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( "which looks like this in interval notation\r<BR>\n" );
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document.write( "if you wanted to graph the solution set, you would get\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+-8%2C+12%29%2C%0D%0A%0D%0Ablue%28line%28-1.5%2C-7%2C1.65%2C-7%29%29%2C%0D%0Ablue%28line%28-1.5%2C-6%2C1.65%2C-6%29%29%2C%0D%0Ablue%28line%28-1.5%2C-5%2C1.65%2C-5%29%29%2C%0D%0A%0D%0Acircle%28-2%2C-5.8%2C0.35%29%2C%0D%0Acircle%28-2%2C-5.8%2C0.4%29%2C%0D%0Acircle%28-2%2C-5.8%2C0.45%29%2C%0D%0A%0D%0A%0D%0Acircle%282%2C-5.8%2C0.35%29%2C%0D%0Acircle%282%2C-5.8%2C0.4%29%2C%0D%0Acircle%282%2C-5.8%2C0.45%29%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Graph of the solution set in blue and the excluded values represented by open circles </SPAN>\n" );
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