document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=689580>Question 689580</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you solve (7/9)v + 5/12 - (3/18)v &#8805; (3/4)v + 1/3? Please show the step-by-step solution because this is a homework problem. I tried the problem, but I know I am wrong. I just can't find the mistake!<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #426004 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=426004\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do you solve (7/9)v + 5/12 - (3/18)v &#8805; (3/4)v + 1/3? <BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2F9%29 ALIGN=MIDDLE  ALT=\"%287%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >v + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F12 ALIGN=MIDDLE  ALT=\"5%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F18%29 ALIGN=MIDDLE  ALT=\"%283%2F18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >v >= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F4%29 ALIGN=MIDDLE  ALT=\"%283%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >v + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "We can get rid of all these denominators by multiplying by 36, resulting in<BR>\n" );
document.write( "4(7v) + 3(5) - 2(3v) >= 9(3v) + 12<BR>\n" );
document.write( "do the math<BR>\n" );
document.write( "28v + 15 - 6v >= 27v + 12<BR>\n" );
document.write( "Combine like terms<BR>\n" );
document.write( "28v - 6v - 27v >= 12 - 15<BR>\n" );
document.write( "-5v >= -3<BR>\n" );
document.write( "v has to be positive, mult by -1, this reverses the inequality sign:<BR>\n" );
document.write( "5v <= 3<BR>\n" );
document.write( "v <= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F5 ALIGN=MIDDLE  ALT=\"3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );