document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199369>Question 1199369</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the inequality. \r<BR>\n" );
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document.write( "|-4x| + |-5| ≤ 1\r<BR>\n" );
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document.write( "|-4x| + -5 ≤ 1\r<BR>\n" );
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document.write( "|-4x| + ≤ 1 + 5\r<BR>\n" );
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document.write( "|-4x| ≤ 6\r<BR>\n" );
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document.write( "-6 < -4x < 6\r<BR>\n" );
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document.write( "-6/-4 > x > 6/-4\r<BR>\n" );
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document.write( "3/2 > x > -3/2\r<BR>\n" );
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document.write( "Let S = solution set\r<BR>\n" );
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document.write( "My answer: S = {x | 3/2 > x > -3/2}\r<BR>\n" );
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document.write( "Textbook answer: No solution.\r<BR>\n" );
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document.write( "What did I do wrong? Why is the empty set or no solution the right answer? \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #833229 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13198)</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=833229\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28-4x%29%2Babs%28-5%29%3C=1 ALIGN=MIDDLE  ALT=\"abs%28-4x%29%2Babs%28-5%29%3C=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "In the second absolute value expression on the left, what's inside is a constant, so...<br><BR>\n" );
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document.write( "Subtract 5 from both sides....<br><BR>\n" );
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document.write( "But the absolute value expression on the left is always 0 or positive -- so there is no solution.<br><BR>\n" );
document.write( "ANSWER: no solution<br><BR>\n" );
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