document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=143740>Question 143740</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 9.	Solve <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x-1%2F4%29%3C1%2F2 ALIGN=MIDDLE  ALT=\"abs%28x-1%2F4%29%3C1%2F2\"   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 #104601 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=104601\">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%28x-1%2F4%29%3C1%2F2 ALIGN=MIDDLE  ALT=\"abs%28x-1%2F4%29%3C1%2F2\"   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=x-1%2F4+%3E+-1%2F2 ALIGN=MIDDLE  ALT=\"x-1%2F4+%3E+-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-1%2F4+%3C+1%2F2 ALIGN=MIDDLE  ALT=\"x-1%2F4+%3C+1%2F2\"   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%2F2+%3C+x-1%2F4+%3C+1%2F2 ALIGN=MIDDLE  ALT=\"-1%2F2+%3C+x-1%2F4+%3C+1%2F2\"   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%28-1%2Fcross%282%29%29+%3C+4%28x-1%2Fcross%284%29%29+%3C+4%281%2Fcross%282%29%29 ALIGN=MIDDLE  ALT=\"4%28-1%2Fcross%282%29%29+%3C+4%28x-1%2Fcross%284%29%29+%3C+4%281%2Fcross%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply all sides by the LCD 4 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%3C4x-1%3C2 ALIGN=MIDDLE  ALT=\"-2%3C4x-1%3C2\"   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=-1%3C4x%3C3 ALIGN=MIDDLE  ALT=\"-1%3C4x%3C3\"   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=-1%2F4%3Cx%3C3%2F4 ALIGN=MIDDLE  ALT=\"-1%2F4%3Cx%3C3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide every side by 4 to isolate x. \r<BR>\n" );
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document.write( "So the solution is\r<BR>\n" );
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document.write( "which looks like <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(-\frac{1}{4},\frac{3}{4}\right)\"> in interval notation.\r<BR>\n" );
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