document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=972631>Question 972631</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. The absolute value of \"a\" is (never, sometimes, always) equal to \"a\".\r<BR>\n" );
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document.write( "2. The absolute value of \"x\" is (never, sometimes, always) equal to \"-x\".\r<BR>\n" );
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document.write( "3. The absolute value of \"\"y\" is (never, sometimes, always) equal to a positive integer.\r<BR>\n" );
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document.write( "4. \"x\" is (never, sometimes,always)greater than \"x\".\r<BR>\n" );
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document.write( "5. Can you show the steps in the solutions to these problems?\r<BR>\n" );
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document.write( "Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #594911 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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/cgi-bin/show-face.mpl?user=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=594911\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "1. The absolute value of \"<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" >\" is (never, sometimes, always) equal to \"<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" >\".\r<BR>\n" );
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document.write( "The absolute value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" >, denoted \"<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28a%29 ALIGN=MIDDLE  ALT=\"abs%28a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \" is the distance of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > from zero. This is why absolute value is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=never ALIGN=MIDDLE  ALT=\"never\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+negative ALIGN=MIDDLE  ALT=\"+negative\"   DISABLED_style= \"max-width:90%; height:auto;\" >; absolute value only asks \"<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=how ALIGN=MIDDLE  ALT=\"how\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+far ALIGN=MIDDLE  ALT=\"+far\"   DISABLED_style= \"max-width:90%; height:auto;\" >?\", not \"<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=in ALIGN=MIDDLE  ALT=\"in\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+which ALIGN=MIDDLE  ALT=\"+which\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+direction ALIGN=MIDDLE  ALT=\"+direction\"   DISABLED_style= \"max-width:90%; height:auto;\" >?\"\r<BR>\n" );
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document.write( "so, your answer is:<BR>\n" );
document.write( "The absolute value of \"<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" >\" is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=always ALIGN=MIDDLE  ALT=\"always\"   DISABLED_style= \"max-width:90%; height:auto;\" > equal to \"<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" >\"\r<BR>\n" );
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document.write( "2. The absolute value of \"<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\" is (never, sometimes, always) equal to \"<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x ALIGN=MIDDLE  ALT=\"-x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\".\r<BR>\n" );
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document.write( "since, by definition, absolute value is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=never ALIGN=MIDDLE  ALT=\"never\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+negative ALIGN=MIDDLE  ALT=\"+negative\"   DISABLED_style= \"max-width:90%; height:auto;\" >, your answer is:\r<BR>\n" );
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document.write( "The absolute value of \"<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\" is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=never ALIGN=MIDDLE  ALT=\"never\"   DISABLED_style= \"max-width:90%; height:auto;\" > equal to \"<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x ALIGN=MIDDLE  ALT=\"-x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\".\r<BR>\n" );
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document.write( "3. The absolute value of \"<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\" is (never, sometimes, always) equal to a positive integer.\r<BR>\n" );
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document.write( "The absolute value of an integer is the numerical value without regard to whether the sign is negative or positive. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > could be an integer, or decimal... <BR>\n" );
document.write( "The absolute value of \"<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\" is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sometimes ALIGN=MIDDLE  ALT=\"sometimes\"   DISABLED_style= \"max-width:90%; height:auto;\" > equal to a positive integer.\r<BR>\n" );
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document.write( "4. \"<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\" is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=never ALIGN=MIDDLE  ALT=\"never\"   DISABLED_style= \"max-width:90%; height:auto;\" > greater than \"<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\".\r<BR>\n" );
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document.write( "5. Can you show the steps in the solutions to these problems?\r<BR>\n" );
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document.write( "steps shown above\r<BR>\n" );
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document.write( " </SPAN>\n" );
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