document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=142989>Question 142989</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x%2B3%2F4%29%3C1%2F4 ALIGN=MIDDLE  ALT=\"abs%28x%2B3%2F4%29%3C1%2F4\"   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 #104039 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=104039\">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%2B3%2F4%29%3C1%2F4 ALIGN=MIDDLE  ALT=\"abs%28x%2B3%2F4%29%3C1%2F4\"   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%2B3%2F4+%3E+-1%2F4 ALIGN=MIDDLE  ALT=\"x%2B3%2F4+%3E+-1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3%2F4+%3C+1%2F4 ALIGN=MIDDLE  ALT=\"x%2B3%2F4+%3C+1%2F4\"   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%2F4+%3C+x%2B3%2F4+%3C+1%2F4 ALIGN=MIDDLE  ALT=\"-1%2F4+%3C+x%2B3%2F4+%3C+1%2F4\"   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=cross%284%29%28-1%2Fcross%284%29%29+%3C+4%28x%2B3%2Fcross%284%29%29+%3C+cross%284%29%281%2Fcross%284%29%29 ALIGN=MIDDLE   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=-1%3C4x%2B3%3C1 ALIGN=MIDDLE  ALT=\"-1%3C4x%2B3%3C1\"   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=-4+%3C+4x+%3C+-2 ALIGN=MIDDLE  ALT=\"-4+%3C+4x+%3C+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 3 from  all sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1+%3C+x+%3C+-1%2F2 ALIGN=MIDDLE  ALT=\"-1+%3C+x+%3C+-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Divide all sides by 4 and reduce 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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