document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1140329>Question 1140329</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rewrite without absolute value sign for different values of x:\r<BR>\n" );
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document.write( "y= −|2x+5|+|2x−5|\r<BR>\n" );
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document.write( "if x<−2.5;<BR>\n" );
document.write( "if x>2.5;<BR>\n" );
document.write( "if −2.5≤x≤2.5 <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #760849 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13206)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=760849\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28A%29+=+A ALIGN=MIDDLE  ALT=\"abs%28A%29+=+A\"   DISABLED_style= \"max-width:90%; height:auto;\" > if A >= 0;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28A%29+=+-A ALIGN=MIDDLE  ALT=\"abs%28A%29+=+-A\"   DISABLED_style= \"max-width:90%; height:auto;\" > if A < 0.<br><BR>\n" );
document.write( "(1) If x < -2.5, then...<br><BR>\n" );
document.write( "2x+5 and 2x-5 are both <0, so<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%282x%2B5%29+=+-%282x%2B5%29 ALIGN=MIDDLE  ALT=\"abs%282x%2B5%29+=+-%282x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-abs%282x%2B5%29+=+2x%2B5 ALIGN=MIDDLE  ALT=\"-abs%282x%2B5%29+=+2x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%282x-5%29+=+-%282x-5%29+=+-2x%2B5 ALIGN=MIDDLE  ALT=\"abs%282x-5%29+=+-%282x-5%29+=+-2x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-abs%282x%2B5%29%2Babs%282x-5%29+=+%282x%2B5%29%2B%28-2x%2B5%29+=+10 ALIGN=MIDDLE  ALT=\"-abs%282x%2B5%29%2Babs%282x-5%29+=+%282x%2B5%29%2B%28-2x%2B5%29+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(2) If x >= 2.5, then...<br><BR>\n" );
document.write( "2x+5 and 2x-5 are both >0, so<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%282x%2B5%29+=+2x%2B5 ALIGN=MIDDLE  ALT=\"abs%282x%2B5%29+=+2x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-abs%282x%2B5%29+=+-%282x%2B5%29+=+-2x-5 ALIGN=MIDDLE  ALT=\"-abs%282x%2B5%29+=+-%282x%2B5%29+=+-2x-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%282x-5%29+=+2x-5 ALIGN=MIDDLE  ALT=\"abs%282x-5%29+=+2x-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%282x%2B5%29%2Babs%282x-5%29+=+%28-2x-5%29%2B%282x-5%29+=+-10 ALIGN=MIDDLE  ALT=\"-abs%282x%2B5%29%2Babs%282x-5%29+=+%28-2x-5%29%2B%282x-5%29+=+-10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(3) If -2.5 < x <= 2.5, then...<br><BR>\n" );
document.write( "2x+5 >0 and 2x-5 < 0, so<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%282x%2B5%29+=+2x%2B5 ALIGN=MIDDLE  ALT=\"abs%282x%2B5%29+=+2x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-abs%282x%2B5%29+=+-%282x%2B5%29+=+-2x-5 ALIGN=MIDDLE  ALT=\"-abs%282x%2B5%29+=+-%282x%2B5%29+=+-2x-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%282x-5%29+=+-%282x-5%29+=+-2x%2B5%29 ALIGN=MIDDLE  ALT=\"abs%282x-5%29+=+-%282x-5%29+=+-2x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-abs%282x%2B5%29%2Babs%282x-5%29+=+%28-2x-5%29%2B%28-2x%2B5%29+=+-4x ALIGN=MIDDLE  ALT=\"-abs%282x%2B5%29%2Babs%282x-5%29+=+%28-2x-5%29%2B%28-2x%2B5%29+=+-4x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Summary:<br><BR>\n" );
document.write( "y = 10; if x < -2.5<BR>\n" );
document.write( "y = -4x; if -2.5 <= x <= 2.5<BR>\n" );
document.write( "y = -10; if x > 2.5<br><BR>\n" );
document.write( "A graph....<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-5%2C5%2C-15%2C15%2C-abs%282x%2B5%29%2Babs%282x-5%29%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-5%2C5%2C-15%2C15%2C-abs%282x%2B5%29%2Babs%282x-5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );