document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=80568>Question 80568</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618098054/algebrahomeworkh>mathnthematics</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> x > 3x<BR>\n" );
document.write( "- - -<BR>\n" );
document.write( "-2  4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #58524 by </B><A HREF=/tutors/aboutme.mpl?userid=mathdoc314><B>mathdoc314(58)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathdoc314><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=58524\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One thing that looks funny here is you put a - under the ><BR>\n" );
document.write( "so I guess you mean (greater than or equal to) which I usually<BR>\n" );
document.write( "type like this: >=  when I am on a computer.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2F+%28-2%29+%3E=++3x+%2F+4+ ALIGN=MIDDLE  ALT=\"+x+%2F+%28-2%29+%3E=++3x+%2F+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "It is going to be helpful here to gather all the x on one side of the equation, and then it will be easy - it will come out as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%3E=0+ ALIGN=MIDDLE  ALT=\"+x%3E=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%3C+0+ ALIGN=MIDDLE  ALT=\"+x+%3C+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > but you'll have to be sure you do the steps right\r<BR>\n" );
document.write( "\n" );
document.write( "The easiest thing here is :  add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2F2+ ALIGN=MIDDLE  ALT=\"+x%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > to each side\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2F%28-2%29+%2B+%28x%2F2%29+%3E=+3x%2F4+%2B+x%2F2+ ALIGN=MIDDLE  ALT=\"+x%2F%28-2%29+%2B+%28x%2F2%29+%3E=+3x%2F4+%2B+x%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "On the right side the common demoninator is 4.  The x/2 is equal to 2x/4.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+%3E=+3x%2F4+%2B+2x%2F4+ ALIGN=MIDDLE  ALT=\"+0+%3E=+3x%2F4+%2B+2x%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+%3E=+5x+%2F+4+ ALIGN=MIDDLE  ALT=\"+0+%3E=+5x+%2F+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Now you multiply both sides by 5/4\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+%2A+5%2F4+%3E=+5x%2F4+%2A+5%2F4+ ALIGN=MIDDLE  ALT=\"+0+%2A+5%2F4+%3E=+5x%2F4+%2A+5%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+%3E=+x+ ALIGN=MIDDLE  ALT=\"+0+%3E=+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Just as I thought  The inequality is true for any <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%3C+0+ ALIGN=MIDDLE  ALT=\"+x+%3C+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you can check by trying <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-4+ ALIGN=MIDDLE  ALT=\"+x+=+-4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > to see if it comes out true:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-4%2F-2+%3E=+3%2A%28-4%29+%2F+4+ ALIGN=MIDDLE  ALT=\"+-4%2F-2+%3E=+3%2A%28-4%29+%2F+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+%3E=+-3+ ALIGN=MIDDLE  ALT=\"+2+%3E=+-3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );