document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=29017>Question 29017</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,<BR>\n" );
document.write( "Could you please help me solve this absolute value equation?. How do i get rid of the negative sign before the absolute value?\r<BR>\n" );
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document.write( "y = - /x-4/\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #16069 by </B><A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.com><B>sdmmadam@yahoo.com(530)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.com><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=16069\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi,<BR>\n" );
document.write( "Could you please help me solve this absolute value equation?. How do i get rid of the negative sign before the absolute value?\r<BR>\n" );
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document.write( "y = - /x-4/\r<BR>\n" );
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document.write( "The absolute value of a real number N denoted by |N| is defined as follows<BR>\n" );
document.write( "|N|= N if N >=0<BR>\n" );
document.write( "|N|= -N if N<0<BR>\n" );
document.write( "Examples.1) |3| = 3    <BR>\n" );
document.write( "2)|0| = 0       <BR>\n" );
document.write( "3) |-3|= -(-3) =+3<BR>\n" );
document.write( "4) |12|=12  <BR>\n" );
document.write( "5)|-12| =12<BR>\n" );
document.write( "6)|-3.8|= +3.8<BR>\n" );
document.write( "From the above what we understand is when there are situations dealing in real numbers where we are interested only in a number N and not in its sign then we enclose the number N  in this fashion within two vertical bars  and call it the absolute value of N or the modulus of N.<BR>\n" );
document.write( "Applying it to algebra,given a variable u, the absolute value of u  denoted by<BR>\n" );
document.write( "|u| is given by |u| = + or - u<BR>\n" );
document.write( "If the variable is say (a-b)then its absolute value denoted by |a-b| is given by<BR>\n" );
document.write( "|a-b| = +(a-b) or -(a-b)<BR>\n" );
document.write( "I hope you have understood these preliminary matters on the definiton of the absolute value of a number.<BR>\n" );
document.write( "Now coming to the problem\r<BR>\n" );
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document.write( "y = - |x-4|<BR>\n" );
document.write( "Multiplying by (-1) through out <BR>\n" );
document.write( "(-y) = |x-4|<BR>\n" );
document.write( "That is <BR>\n" );
document.write( "(-y) = +(x-4) or -(x-4) according to the definition we have learnt above.<BR>\n" );
document.write( "1)(-y) = +(x-4)implies<BR>\n" );
document.write( "0 = x+y-4<BR>\n" );
document.write( "That is x+y-4=0<BR>\n" );
document.write( "2)(-y) = -(x-4) <BR>\n" );
document.write( "-y = -x+4<BR>\n" );
document.write( "x-y-4 = 0<BR>\n" );
document.write( "Answer: x+y-4=0 or x-y-4 = 0\r<BR>\n" );
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document.write( " </SPAN>\n" );
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