document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=178221>Question 178221</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534400507/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> abs |2x-1| + 1 < 6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #135515 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=135515\">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%282x-1%29%2B1%3C6 ALIGN=MIDDLE  ALT=\"abs%282x-1%29%2B1%3C6\"   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=abs%282x-1%29%3C5 ALIGN=MIDDLE  ALT=\"abs%282x-1%29%3C5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 1 from both sides.\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=2x-1+%3E+-5 ALIGN=MIDDLE  ALT=\"2x-1+%3E+-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-1+%3C+5 ALIGN=MIDDLE  ALT=\"2x-1+%3C+5\"   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=-5+%3C+2x-1+%3C+5 ALIGN=MIDDLE  ALT=\"-5+%3C+2x-1+%3C+5\"   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=-4+%3C+2x+%3C+6 ALIGN=MIDDLE  ALT=\"-4+%3C+2x+%3C+6\"   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=-2+%3C+x+%3C+3 ALIGN=MIDDLE  ALT=\"-2+%3C+x+%3C+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Divide all sides by 2 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( "which looks like this in interval notation\r<BR>\n" );
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document.write( "if you wanted to graph the solution set on a number line, 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+-9.5%2C+10.5%29%2C%0D%0A%0D%0Ablue%28line%28-2%2C-7%2C2.15%2C-7%29%29%2C%0D%0Ablue%28line%28-2%2C-6%2C2.15%2C-6%29%29%2C%0D%0Ablue%28line%28-2%2C-5%2C2.15%2C-5%29%29%2C%0D%0A%0D%0Acircle%28-2.5%2C-5.8%2C0.35%29%2C%0D%0Acircle%28-2.5%2C-5.8%2C0.4%29%2C%0D%0Acircle%28-2.5%2C-5.8%2C0.45%29%2C%0D%0A%0D%0A%0D%0Acircle%282.5%2C-5.8%2C0.35%29%2C%0D%0Acircle%282.5%2C-5.8%2C0.4%29%2C%0D%0Acircle%282.5%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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