document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=892208>Question 892208</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I was wondering if you could please help me with an absolute value question please? I did the math and got -5 and 5 and it is an \"or\" line but they both equal the equation. The problem is |3x| > 15. I did this:<BR>\n" );
document.write( "3x>15              Or       3x>-15<BR>\n" );
document.write( "3x/3> 15/3                  3x/3>-15/3<BR>\n" );
document.write( "x>5                              x> -5\r<BR>\n" );
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document.write( "The problem is that they both equal 15 & the problem is >15 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #540356 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=540356\">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%283x%29%3E-15 ALIGN=MIDDLE  ALT=\"abs%283x%29%3E-15\"   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=3abs%28x%29%3E-15 ALIGN=MIDDLE  ALT=\"3abs%28x%29%3E-15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x%29%3E-15%2F3 ALIGN=MIDDLE  ALT=\"abs%28x%29%3E-15%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x%29%3E-5 ALIGN=MIDDLE  ALT=\"abs%28x%29%3E-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "An absolute value will always be positive or zero; never negative.\r<BR>\n" );
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document.write( "IF <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=0 ALIGN=MIDDLE  ALT=\"x%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > THEN<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E-5 ALIGN=MIDDLE  ALT=\"x%3E-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "IF <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C0 ALIGN=MIDDLE  ALT=\"x%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" > THEN<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%3E-5 ALIGN=MIDDLE  ALT=\"-x%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=x%3C5 ALIGN=MIDDLE  ALT=\"x%3C5\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----multiplied by -1 on both sides must cause reversal of inequality direction\r<BR>\n" );
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document.write( "Draw a number line and label with -5, 0, and 5, so you can see clearly.  Graph <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E-5 ALIGN=MIDDLE  ALT=\"x%3E-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C5 ALIGN=MIDDLE  ALT=\"x%3C5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  You will see that the solution which satisfies BOTH conditions is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28-5%3Cx%3C5%29 ALIGN=MIDDLE  ALT=\"highlight%28-5%3Cx%3C5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or, the open interval between -5 and +5. </SPAN>\n" );
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