document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=516454>Question 516454</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 6(x-5)>-3(x+1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #344370 by </B><A HREF=/tutors/aboutme.mpl?userid=gc2000><B>gc2000(22)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gc2000><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=gc2000><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=344370\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> treat inequalities the same as equations, except when multiplying or dividing both sides by a negative number, in those cases the greater/less than type signs will switch.<BR>\n" );
document.write( "6(x-5)>-3(x+1)<BR>\n" );
document.write( "6x - 30 > -3x - 3<BR>\n" );
document.write( "{add 30 to both sides}<BR>\n" );
document.write( "6x > -3x +27<BR>\n" );
document.write( "{add 3x to both sides}<BR>\n" );
document.write( "9x > 27<BR>\n" );
document.write( "{divide both sides by 9; note that the sign doesn't flip because 9 is not negative}<BR>\n" );
document.write( "Answer:  x > 9 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );