document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=200028>Question 200028</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5/4[x-1/2]-5/3<4/3\r<BR>\n" );
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document.write( "Please help I need to use set builder to fill this in\r<BR>\n" );
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document.write( "{x/x? ?} </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #150388 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=150388\">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=%285%2F4%29%2Aabs%28x-1%2F2%29-5%2F3%3C4%2F3 ALIGN=MIDDLE  ALT=\"%285%2F4%29%2Aabs%28x-1%2F2%29-5%2F3%3C4%2F3\"   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=%285%2F4%29%2Aabs%28x-1%2F2%29%3C4%2F3%2B5%2F3 ALIGN=MIDDLE  ALT=\"%285%2F4%29%2Aabs%28x-1%2F2%29%3C4%2F3%2B5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F3 ALIGN=MIDDLE  ALT=\"5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F4%29%2Aabs%28x-1%2F2%29%3C9%2F3 ALIGN=MIDDLE  ALT=\"%285%2F4%29%2Aabs%28x-1%2F2%29%3C9%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F4%29%2Aabs%28x-1%2F2%29%3C3 ALIGN=MIDDLE  ALT=\"%285%2F4%29%2Aabs%28x-1%2F2%29%3C3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Aabs%28x-1%2F2%29%3C3%2A4 ALIGN=MIDDLE  ALT=\"5%2Aabs%28x-1%2F2%29%3C3%2A4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by 4.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Aabs%28x-1%2F2%29%3C12 ALIGN=MIDDLE  ALT=\"5%2Aabs%28x-1%2F2%29%3C12\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x-1%2F2%29%3C12%2F5 ALIGN=MIDDLE  ALT=\"abs%28x-1%2F2%29%3C12%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 5.\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%2F2+%3E+-12%2F5 ALIGN=MIDDLE  ALT=\"x-1%2F2+%3E+-12%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-1%2F2+%3C+12%2F5 ALIGN=MIDDLE  ALT=\"x-1%2F2+%3C+12%2F5\"   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=-12%2F5+%3C+x-1%2F2+%3C+12%2F5 ALIGN=MIDDLE  ALT=\"-12%2F5+%3C+x-1%2F2+%3C+12%2F5\"   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%2810%29%5E2%28-12%2Fcross%285%29%29+%3C+10%2Ax-cross%2810%29%5E5%281%2Fcross%282%29%29+%3C+cross%2810%29%5E2%2812%2Fcross%285%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply EVERY term on ALL sides by the LCD 10 to clear out the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-24%3C10x-5%3C24 ALIGN=MIDDLE  ALT=\"-24%3C10x-5%3C24\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply and simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-24%2B5%3C10x%3C24%2B5 ALIGN=MIDDLE  ALT=\"-24%2B5%3C10x%3C24%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > to ALL sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-19%3C10x%3C24%2B5 ALIGN=MIDDLE  ALT=\"-19%3C10x%3C24%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-19%3C10x%3C29 ALIGN=MIDDLE  ALT=\"-19%3C10x%3C29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-19%29%2F10%3Cx%3C%2829%29%2F10 ALIGN=MIDDLE  ALT=\"%28-19%29%2F10%3Cx%3C%2829%29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide all sides by 10.\r<BR>\n" );
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document.write( "So the solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-19%2F10%3Cx%3C29%2F10 ALIGN=MIDDLE  ALT=\"-19%2F10%3Cx%3C29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the answer in set-builder notation is  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left\{x\|-\frac{19}{10} < x < \frac{29}{10}\right\}\">\r<BR>\n" );
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