document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=180807>Question 180807</A>: <I><SPAN STYLE=\"word-break: break-all;\"> |2x-6| + 2 >(or equal to) 2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #135531 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=135531\">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%282x-6%29%2B2%3E=2 ALIGN=MIDDLE  ALT=\"abs%282x-6%29%2B2%3E=2\"   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-6%29%3E=0 ALIGN=MIDDLE  ALT=\"abs%282x-6%29%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 2 from both sides.\r<BR>\n" );
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document.write( "Now because the absolute value of any number (except 0) is ALWAYS positive. Also, the absolute value of 0 is 0. \r<BR>\n" );
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document.write( "So this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%282x-6%29 ALIGN=MIDDLE  ALT=\"abs%282x-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > will ALWAYS be greater than or equal to zero for any \"x\" value\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%282x-6%29%3E=0 ALIGN=MIDDLE  ALT=\"abs%282x-6%29%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > is true for all real numbers. \r<BR>\n" );
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document.write( "So the answer is all real numbers.\r<BR>\n" );
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document.write( "So the answer in interval notation is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(-\infty,\infty\right)\">\r<BR>\n" );
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document.write( "Also, the answer in set-builder notation is  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left\{x\|x\in\mathbb{R}\right\}\"> (this reads: x is in the set of all real numbers)<BR>\n" );
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