document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=671969>Question 671969</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please help, my son has come to me for help with his Algebra HW. I have not been in school for over 20 years & cannot remember ANY of it. Here is the problem, if you can show me each step I can maybe be of some help to him:   <BR>\n" );
document.write( "5n+3-4n<-5-3n </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #417759 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=417759\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, you have to recognize what it is<BR>\n" );
document.write( "It's an INequality.<BR>\n" );
document.write( "There are 4 types of inequalities<BR>\n" );
document.write( "> means greater than<BR>\n" );
document.write( "< means less than<BR>\n" );
document.write( ">= means greater than or equal to<BR>\n" );
document.write( "<= means less than or equal to<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "The plain old = means equal to<BR>\n" );
document.write( "Your inequality is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5n+%2B+3+-+4n+%3C+-5+-+3n+ ALIGN=MIDDLE  ALT=\"+5n+%2B+3+-+4n+%3C+-5+-+3n+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This says that the left side is less than the <BR>\n" );
document.write( "right side. There is 1 unknown, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" >, in this inequality<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "The basic rule with inequalities is the same as<BR>\n" );
document.write( "when you just have an = sign.<BR>\n" );
document.write( "Whatever you do to one side, you must do the exact<BR>\n" );
document.write( "same thing to the other side<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "First, I'm going to subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5n+%2B+3+-+3+%3C+-5+-3+-+3n+ ALIGN=MIDDLE  ALT=\"+5n+%2B+3+-+3+%3C+-5+-3+-+3n+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5n+%3C+-8+-+3n+ ALIGN=MIDDLE  ALT=\"+5n+%3C+-8+-+3n+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now I will add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3n+ ALIGN=MIDDLE  ALT=\"+3n+\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5n+%2B+3n+%3C+-8+-+3n+%2B+3n+ ALIGN=MIDDLE  ALT=\"+5n+%2B+3n+%3C+-8+-+3n+%2B+3n+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8n+%3C+-8+ ALIGN=MIDDLE  ALT=\"+8n+%3C+-8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8+ ALIGN=MIDDLE  ALT=\"+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%288%2F8%29%2An+%3C+%28-8%2F8%29+ ALIGN=MIDDLE  ALT=\"+%288%2F8%29%2An+%3C+%28-8%2F8%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+%3C+-1+ ALIGN=MIDDLE  ALT=\"+n+%3C+-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "Notice that the < sign never changed, and<BR>\n" );
document.write( "it usually does not.<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "There is very simple way to check the work.<BR>\n" );
document.write( "I am saying that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > is less than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "so I will say that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+-1.01+ ALIGN=MIDDLE  ALT=\"+n+=+-1.01+\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is<BR>\n" );
document.write( "slightly less than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-1+ ALIGN=MIDDLE  ALT=\"+-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5n+%2B+3+-+4n+%3C+-5+-+3n+ ALIGN=MIDDLE  ALT=\"+5n+%2B+3+-+4n+%3C+-5+-+3n+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%2A%28-1.01%29+%2B+3+-+4%2A%28-1.01%29+%3C+-5+-+3%2A%28-1.01%29+ ALIGN=MIDDLE  ALT=\"+5%2A%28-1.01%29+%2B+3+-+4%2A%28-1.01%29+%3C+-5+-+3%2A%28-1.01%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-5.05+%2B+3+%2B+4.04+%3C+-5+%2B+3.03+ ALIGN=MIDDLE  ALT=\"+-5.05+%2B+3+%2B+4.04+%3C+-5+%2B+3.03+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "( note that minus x minus = plus )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2B+3+-+1.01+%3C+-5+%2B+3.03+ ALIGN=MIDDLE  ALT=\"+%2B+3+-+1.01+%3C+-5+%2B+3.03+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-1.99+%3C+-1.97+ ALIGN=MIDDLE  ALT=\"+-1.99+%3C+-1.97+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is true, so I think my solution is correct<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Hope this helps\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );