document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1178838>Question 1178838</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2 (| 4-3x |) -3 (| 2x+1 |) < 7\r<BR>\n" );
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document.write( "I'm studying for a test and trying to solve this. I always reach the answer 4/3 > x >-1/6 but according to my teacher, the correct answer is x> -1/6 and I keep on going wrong somewhere but can't find where. Help is very much appreciated. Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #808260 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=808260\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "We can only guess what you are doing wrong, because you only show us what your wrong answer is, without showing HOW you got your answer.<br><BR>\n" );
document.write( "The two critical points for the expression are where the expressions within the absolute value symbols are equal to zero -- at 4/3 and -1/2. So to solve the inequality you need to examine three cases: (1) x less than-1/2; (2) x between -1/2 and 4/3; and (3) x greater than 4/3.<br><BR>\n" );
document.write( "Solving the first case leads to the equation 11<7, which is never true.  So there are no solutions for x<-1/2.<br><BR>\n" );
document.write( "Solving the second case leads to your answer of [-1/6,4/3).<br><BR>\n" );
document.write( "Perhaps you stopped there in your work....<br><BR>\n" );
document.write( "Solving the third case leads to the equation -11<7, which is always true.  So all values greater than or equal to 4/3 are also solutions.<br><BR>\n" );
document.write( "That gives what your teacher says is the correct answer.<br><BR>\n" );
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