document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=972800>Question 972800</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please Solve the inequality 7x-9>=x+3<BR>\n" );
document.write( "where 7x-9 is an absolute value and in bars and it is greater then equals to x+3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #595138 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=595138\">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%287x-9%29%3E=abs%28x%2B3%29 ALIGN=MIDDLE  ALT=\"abs%287x-9%29%3E=abs%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "To be easy, either the signs of each argument are same or they are opposite.  Examining the simple cases would be better for understanding, but avoiding here.\r<BR>\n" );
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document.write( "You want both of these to be true for a solution.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x-9%3E=x%2B3 ALIGN=MIDDLE  ALT=\"7x-9%3E=x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >  AND  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x-9%3E=-x-3 ALIGN=MIDDLE  ALT=\"7x-9%3E=-x-3\"   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=6x-12%3E=0 ALIGN=MIDDLE  ALT=\"6x-12%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2%3E=0 ALIGN=MIDDLE  ALT=\"x-2%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=2 ALIGN=MIDDLE  ALT=\"x%3E=2\"   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=8x-6%3E=0 ALIGN=MIDDLE  ALT=\"8x-6%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%3E=6 ALIGN=MIDDLE  ALT=\"8x%3E=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%3E=3 ALIGN=MIDDLE  ALT=\"4x%3E=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=3%2F4 ALIGN=MIDDLE  ALT=\"x%3E=3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The first condition makes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=2 ALIGN=MIDDLE  ALT=\"x%3E=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >; and the second condition makes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=3%2F4 ALIGN=MIDDLE  ALT=\"x%3E=3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  We can check intervals around the critical x values just to be more certain.\r<BR>\n" );
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document.write( "Between the two:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%287x-9%29%3E=abs%28x%2B3%29 ALIGN=MIDDLE  ALT=\"abs%287x-9%29%3E=abs%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "pick 1.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%287%2A1-9%29%3E=abs%281%2B3%29 ALIGN=MIDDLE  ALT=\"abs%287%2A1-9%29%3E=abs%281%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28-2%29%3E=abs%284%29 ALIGN=MIDDLE  ALT=\"abs%28-2%29%3E=abs%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%3E=4 ALIGN=MIDDLE  ALT=\"2%3E=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, FALSE.\r<BR>\n" );
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document.write( "Left of 3/4:<BR>\n" );
document.write( "pick 0.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%287%2A0-9%29%3E=abs%280%2B3%29 ALIGN=MIDDLE  ALT=\"abs%287%2A0-9%29%3E=abs%280%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28-9%29%3E=abs%283%29 ALIGN=MIDDLE  ALT=\"abs%28-9%29%3E=abs%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%3E=3 ALIGN=MIDDLE  ALT=\"9%3E=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, TRUE.\r<BR>\n" );
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document.write( "Greater than 2:<BR>\n" );
document.write( "pick 3.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%287%2A3-9%29%3E=abs%283%2B3%29 ALIGN=MIDDLE  ALT=\"abs%287%2A3-9%29%3E=abs%283%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%3E=6 ALIGN=MIDDLE  ALT=\"12%3E=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, TRUE.\r<BR>\n" );
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document.write( "Actual answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%3E=3%2F4%29 ALIGN=MIDDLE  ALT=\"highlight%28x%3E=3%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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