document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=169409>Question 169409</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how would you graph and describe the solution x > -y? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #124907 by </B><A HREF=/tutors/aboutme.mpl?userid=gonzo><B>gonzo(654)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gonzo><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=124907\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> -----<BR>\n" );
document.write( "please note:<BR>\n" );
document.write( "in interval notation,<BR>\n" );
document.write( "(a means x is > a<BR>\n" );
document.write( "[a means x is >= a<BR>\n" );
document.write( "b) means x is < b<BR>\n" );
document.write( "b] means x is <= b<BR>\n" );
document.write( "(a,b) means a < x < b<BR>\n" );
document.write( "[a,b] means a <= x <= b<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "please note:<BR>\n" );
document.write( "in interval line,<BR>\n" );
document.write( "-------------------- represent part of line that is not in the interval.<BR>\n" );
document.write( "==================== represent part of line that is in the interval.<BR>\n" );
document.write( "the (, [, ), ] mean the same as above.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "equation you have is x > -y<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "in interval notation, this would be:<BR>\n" );
document.write( "(-y,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=infinity ALIGN=MIDDLE  ALT=\"infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "on the interval line, this would look like:<BR>\n" );
document.write( "<-------------------(-y ========================= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=infinity ALIGN=MIDDLE  ALT=\"infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >)-----------><BR>\n" );
document.write( "i can't actually graph this in its present form, but if we massage the equation then we can graph it.<BR>\n" );
document.write( "your equation is x > -y which is the same as -y < x <BR>\n" );
document.write( "if we multiply both sides of the equation by -1, we get<BR>\n" );
document.write( "y > -x<BR>\n" );
document.write( "because multiplying both sides of an inequality by a negative number reverses the inequality.<BR>\n" );
document.write( "now the equation is in a form that can be graphed.<BR>\n" );
document.write( "in order to draw the graph, make y = -x<BR>\n" );
document.write( "that would be the equation of the line that would be the dividing point.<BR>\n" );
document.write( "the graph would look like the following:<BR>\n" );
document.write( "look below the graph for further comments.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28800%2C800%2C-10%2C10%2C-10%2C10%2C-x%29 ALIGN=MIDDLE  ALT=\"graph%28800%2C800%2C-10%2C10%2C-10%2C10%2C-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "since your equation is y > -x, the area over the line would be the area that satisfies the equation.<BR>\n" );
document.write( "for any given value of x, any value of y greater than -x would satisfy the inequality.<BR>\n" );
document.write( "for example:<BR>\n" );
document.write( "let x = 5.<BR>\n" );
document.write( "looking at x = 5, the line shows y = -5.<BR>\n" );
document.write( "any value of y greater than -5 would satisfy the inequality at that point.<BR>\n" );
document.write( "if you were drawing the graph, you would shade the area over the line of y = -x to show that is the area that satisfies the equation y > -x.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );