document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207367>Question 1207367</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rewrite each expression in a form that does not contain absolute values: \r<BR>\n" );
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document.write( "(a) |pi - 4| + 1\r<BR>\n" );
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document.write( "I know that the quantity pi - 4 is negative. So, -(pi - 4) = -pi + 4.\r<BR>\n" );
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document.write( "Is this right? \r<BR>\n" );
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document.write( "I need help with (b) and (c).\r<BR>\n" );
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document.write( "(b) |x - 5|, given that x > or = 5 \r<BR>\n" );
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document.write( "(c) |t - 5|, given that t < 5.\r<BR>\n" );
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document.write( "Note: The book tells me to use the formal definition of absolute value.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #845201 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52798)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=845201\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
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document.write( "For (a), the answer is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28pi-4%29 ALIGN=MIDDLE  ALT=\"abs%28pi-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284-pi%29 ALIGN=MIDDLE  ALT=\"%284-pi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5-pi ALIGN=MIDDLE  ALT=\"5-pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r\n" );
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document.write( "For (b), |x-5| given that x >= 5  is x-5   (by the definition of the absolute value)\r\n" );
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document.write( "For (c), |t-5| given that t < 5  is -(t-5),  or  5-t.   (by the definition of the absolute value)\r\n" );
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document.write( "Solved, answered and explained, in full.\r<BR>\n" );
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document.write( "As a prerequisite, you must know/read/understand the definition of the absolute value.\r<BR>\n" );
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document.write( "<U>Comment from student</U> : Good reply. For part (a), the book's answer is -pi + 5. Does it matter if I write it as you did: 5 - pi?\r<BR>\n" );
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document.write( "<U>My response</U> : &nbsp;&nbsp;-pi+5 is the same &nbsp;(is equal to) &nbsp;5-pi.<BR>\n" );
document.write( "It is as clear as a sunny day, &nbsp;and any school student can confirm it . . . \r<BR>\n" );
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