document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1000779>Question 1000779</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am supposed to solve this inequality and write the answer in interval notation but I am stuck! Here is what I have so far:<BR>\n" );
document.write( "|2x – 1| + 10 &#8805; 5 <BR>\n" );
document.write( "|2x – 1| + 10-10 &#8805; 5-10 <BR>\n" );
document.write( "|2x – 1|&#8805;-5 <BR>\n" );
document.write( "2x-1&#8805;5, 2x-1&#8804;-5 <BR>\n" );
document.write( "2x-1+1&#8805;5+1, 2x-1+1&#8804;-5+1 <BR>\n" );
document.write( "2x&#8805;6, 2x&#8804;-4 <BR>\n" );
document.write( "2x/2&#8805;6/2, 2x/2&#8804;-4/2 <BR>\n" );
document.write( "x&#8805;3, x&#8804;-2<BR>\n" );
document.write( "What am I supposed to do after this?<BR>\n" );
document.write( "Thank you in advance for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #618152 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=618152\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The absolute value will not be greater than or equal to negative five; because absolute values are never negative.  Your step giving <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%282x-1%29%3E=-5 ALIGN=MIDDLE  ALT=\"abs%282x-1%29%3E=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > is not very meaningful in the way it is written.  If referring to negative 5, the right member needs to be non-negative, so maybe choose 0 for the right member; otherwise the statement would not make good sense.\r<BR>\n" );
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document.write( "TRY see what happens if right member still -5.<BR>\n" );
document.write( "If 2x-1 is non-negative, then  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-1%3E=-5 ALIGN=MIDDLE  ALT=\"2x-1%3E=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%3E=-5%2B1 ALIGN=MIDDLE  ALT=\"2x%3E=-5%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%3E=-4 ALIGN=MIDDLE  ALT=\"2x%3E=-4\"   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;\" ><BR>\n" );
document.write( "If 2x-1 is negative, then  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%2B1%3E=-5 ALIGN=MIDDLE  ALT=\"-2x%2B1%3E=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%3E=-5-1 ALIGN=MIDDLE  ALT=\"-2x%3E=-5-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%3E=-6 ALIGN=MIDDLE  ALT=\"-2x%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=x%3C=3 ALIGN=MIDDLE  ALT=\"x%3C=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "Those would seem to say that the solution would be  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28-2%3C=x%3C=3%29 ALIGN=MIDDLE  ALT=\"highlight_green%28-2%3C=x%3C=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Will all of the points any one at  a time work in the original inequality?\r<BR>\n" );
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document.write( "Negative 1 is one of the values in the apparent solution. Test it! Does it work?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%282x-1%29%2B10%3E=5 ALIGN=MIDDLE  ALT=\"abs%282x-1%29%2B10%3E=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%282%28-1%29-1%29%2B10%3E=5 ALIGN=MIDDLE  ALT=\"abs%282%28-1%29-1%29%2B10%3E=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28-2-1%29%2B10%3E=5 ALIGN=MIDDLE  ALT=\"abs%28-2-1%29%2B10%3E=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2B10%3E=5 ALIGN=MIDDLE  ALT=\"3%2B10%3E=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%3E=5 ALIGN=MIDDLE  ALT=\"13%3E=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------This seemed to work.\r<BR>\n" );
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document.write( "Test negative 2.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%282%28-2%29-1%29%2B10%3E=5 ALIGN=MIDDLE  ALT=\"abs%282%28-2%29-1%29%2B10%3E=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28-4-1%29%2B10%3E=5 ALIGN=MIDDLE  ALT=\"abs%28-4-1%29%2B10%3E=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%3E=5 ALIGN=MIDDLE  ALT=\"15%3E=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----------this also works.\r<BR>\n" );
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document.write( "In fact, no matter what value x you choose, it will work in the original inequality, even outside of the \"solved\" interval.\r<BR>\n" );
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document.write( "SOLUTION:  ALL REAL NUMBERS! </SPAN>\n" );
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