document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=710958>Question 710958</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi I am trying to understand how to graph y>3x. I am trying to graph inequalities in two variables and was sick from school today and only need help in 2 or 3 problems so I can do the rest on my own. If you could help me it would be greatly appreciated and thank you very much. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #437253 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=437253\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Think of the inequality this way:<BR>\n" );
document.write( "If you combine:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+%3E+3x+ ALIGN=MIDDLE  ALT=\"+y+%3E+3x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+3x+ ALIGN=MIDDLE  ALT=\"+y+=+3x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+%3C+3x+ ALIGN=MIDDLE  ALT=\"+y+%3C+3x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The entire x-y plane is a possible solution<BR>\n" );
document.write( "If you just say<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+%3E+3x+ ALIGN=MIDDLE  ALT=\"+y+%3E+3x+\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "that allows every point above the line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+3x+ ALIGN=MIDDLE  ALT=\"+y+=+3x+\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "not including the line itself.<BR>\n" );
document.write( "If you say<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+%3C+3x+ ALIGN=MIDDLE  ALT=\"+y+%3C+3x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "that allows every point below the line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+3x+ ALIGN=MIDDLE  ALT=\"+y+=+3x+\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "not including the line itself.<BR>\n" );
document.write( "When you combine all three, all points in the x-y plane <BR>\n" );
document.write( "are possible solutions<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Suppose you have the inequality<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+%3E7+ ALIGN=MIDDLE  ALT=\"+y+%3E7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "then, every point above the horizontal line <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+7+ ALIGN=MIDDLE  ALT=\"+y+=+7+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a possible solution<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+%3C+7+ ALIGN=MIDDLE  ALT=\"+y+%3C+7+\"   DISABLED_style= \"max-width:90%; height:auto;\" > allows every point below this line<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+7+ ALIGN=MIDDLE  ALT=\"+y+=+7+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the horizontal line itself<BR>\n" );
document.write( "Combine all three, and you have the entire x-y plane<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Suppose you have <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+%3E+x+ ALIGN=MIDDLE  ALT=\"+y+%3E+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+%3E+-x+ ALIGN=MIDDLE  ALT=\"+y+%3E+-x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You now have 2 conditions. You are EXcluding the following regions:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+x+ ALIGN=MIDDLE  ALT=\"+y+=+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+%3C+x+ ALIGN=MIDDLE  ALT=\"+y+%3C+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+-x+ ALIGN=MIDDLE  ALT=\"+y+=+-x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+%3C+-x+ ALIGN=MIDDLE  ALT=\"+y+%3C+-x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "the possible solutions are now limited to the center upper region that<BR>\n" );
document.write( "satisfies both conditions:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+x%2C+-x%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+x%2C+-x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Hope this helps\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );