document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=393631>Question 393631</A>: <I><SPAN STYLE=\"word-break: break-all;\">  f(x)=  | 3x-17 | \r<BR>\n" );
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document.write( "for the function defined above, what is one possible value of a for which f(a)< a ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #279323 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=279323\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'll give you ALL the possible values for a.\r<BR>\n" );
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document.write( "We solve |3a -17| < a <---(A)<BR>\n" );
document.write( "This inequality is equivalent to -a < 3a - 17 < a,<BR>\n" );
document.write( "<==> -a < 3a - 17  intersection 3a - 17 < a<BR>\n" );
document.write( "<==> 17 < 4a  intersection 2a < 17<BR>\n" );
document.write( "<==> 17/4 = 4.25 < a intersection a < 17/2 = 8.5.<BR>\n" );
document.write( "Therefore the solution set is the open interval (4.25, 8.5).  ANY number in this interval will satisfy inequality (A). </SPAN>\n" );
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