document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184311>Question 1184311</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+ln%28x%5E2%29+-+16+%3C=+ln%284x+-+11%29+ ALIGN=MIDDLE  ALT=\"+ln%28x%5E2%29+-+16+%3C=+ln%284x+-+11%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > then which one of the following condition is true::<BR>\n" );
document.write( "A. x lies in ] 4, 5]<BR>\n" );
document.write( "B. x lies in [ 4, 5]<BR>\n" );
document.write( "C. x lies in [-1, 5] <BR>\n" );
document.write( "D. x < -4 or x > 4<BR>\n" );
document.write( "E. x < -1 or x > 5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #814843 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13206)</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=814843\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Apparently you have posted the inequality incorrectly.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28x%5E2%29-16 ALIGN=MIDDLE  ALT=\"ln%28x%5E2%29-16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "is always far less than<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%284x-11%29 ALIGN=MIDDLE  ALT=\"ln%284x-11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-2%2C10%2C-20%2C10%2Cln%28x%5E2%29-16%2Cln%284x-11%29%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-2%2C10%2C-20%2C10%2Cln%28x%5E2%29-16%2Cln%284x-11%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
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document.write( "Comment to the student, who proclaims that I have not answered the problem in the correct way....<br><BR>\n" );
document.write( "The graph shows that ln(4x-11) (green line) does not exist for x less than 11/4=2.75.<br><BR>\n" );
document.write( "But the question was not where the function ln(4x-11) is defined.<br><BR>\n" );
document.write( "The question was what is the solution set for the inequality; the graph shows that ln(x^2)-16 (red curve) is ALWAYS less than ln(4x-11), so the inequality is always true, which is what my answer said.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );