document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=756362>Question 756362</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for x:  -10(x-3.0) >/= 4(4.7-x)<BR>\n" );
document.write( "When I did this I got:  x >/= 1.867.  But the right answer was actually:  x </= 1.867... Why is it that the sign changed?  I don't get it.... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #460157 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=460157\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You simply made a sign mistake or you forgot a rule about  multiplying an inequality by a negative number.  The correct answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%3C=1.867%29 ALIGN=MIDDLE  ALT=\"highlight%28x%3C=1.867%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "First step is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%28x-3%29%3E=2%284.7-x%29 ALIGN=MIDDLE  ALT=\"-5%28x-3%29%3E=2%284.7-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > was divided by 2 on both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%28x-3%29-2%284.7-x%29%3E=0 ALIGN=MIDDLE  ALT=\"-5%28x-3%29-2%284.7-x%29%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And for earlier convenience a multiplication by NEGATIVE 1.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28x-3%29%2B2%284.7-x%29%3C=0 ALIGN=MIDDLE  ALT=\"5%28x-3%29%2B2%284.7-x%29%3C=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > NOTICE the changed direction of the the order.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The remaining steps are omitted here knowing that you seemed to show as much skill as needed since the numeral shown in your description was correct. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );