document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=156533>Question 156533</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Describe the differences in the graphs of |X|>A and |X| less than A, where A is a positive real number </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #115361 by </B><A HREF=/tutors/aboutme.mpl?userid=gonzo><B>gonzo(654)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gonzo><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=115361\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let y = A<BR>\n" );
document.write( "let x = X<BR>\n" );
document.write( "equation becomes y < |x| and y > |x|\r<BR>\n" );
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document.write( "x can be any real number but y will always be positive since it equals the absolute value of x.\r<BR>\n" );
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document.write( "if you graph y = |x| then you can plot some points to see what the resulting line looks like.\r<BR>\n" );
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document.write( "x      y<BR>\n" );
document.write( "-20    20<BR>\n" );
document.write( "-10    10<BR>\n" );
document.write( "0      0<BR>\n" );
document.write( "10     10<BR>\n" );
document.write( "20     20\r<BR>\n" );
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document.write( "\"<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-20%2C20%2C0%2C20%2Cabs%28x%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-20%2C20%2C0%2C20%2Cabs%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\"\r<BR>\n" );
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document.write( "now if you look at y < |x| it will be the shaded area under the graphed line.\r<BR>\n" );
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document.write( "if you look at y > |x| it will be the shaded area over the graphed line.\r<BR>\n" );
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document.write( "as an example, take one of the plots (say x = -20).\r<BR>\n" );
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document.write( "then y = absolute value of -20 = 20.\r<BR>\n" );
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document.write( "y < 20 is any plot of y less than 20 which is the area under the graphed point.\r<BR>\n" );
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document.write( "y > 20 is any plot of y greater than  20 which is the area over the graphed point.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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