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 #845200 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</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=845200\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Rewrite each expression in a form that does not contain absolute values:<br><BR>\n" );
document.write( "(a) |pi - 4| + 1<br><BR>\n" );
document.write( "I know that the quantity pi - 4 is negative. So, -(pi - 4) = -pi + 4.<br><BR>\n" );
document.write( "Is this right?<br><BR>\n" );
document.write( "It's right as far as you have gone; but you haven't rewritten the entire given expression. pi is less than 4, so pi-4 is negative, so |pi-4| = 4-pi.  Then the whole given expression is equivalent to (4-pi)+1 = 5-pi.<br><BR>\n" );
document.write( "I need help with (b) and (c).<br><BR>\n" );
document.write( "(b) |x - 5|, given that x > or = 5<br><BR>\n" );
document.write( "If x >= 5, then x-5 is non-negative, so |x-5| = x-5<br><BR>\n" );
document.write( "(c) |t - 5|, given that t < 5.<br><BR>\n" );
document.write( "If t < 5, then t-5 is negative, so |t-5| = -(t-5) = 5-t (similar to what you did in (a))<br>\r<BR>\n" );
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document.write( "Note: The book tells me to use the formal definition of absolute value.  </SPAN>\n" );
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