document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=917605>Question 917605</A>: <I><SPAN STYLE=\"word-break: break-all;\">  \r<BR>\n" );
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document.write( "x2	 + 	y2	&#8804;	9	<BR>\n" );
document.write( "x	 &#8722; 	y	 > 	0\r<BR>\n" );
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document.write( "Find the coordinates of all vertices. (If there is no solution, enter NO SOLUTION.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #556725 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=556725\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=blue%28x%5E2%2By%5E2%3C=9%29 ALIGN=MIDDLE  ALT=\"blue%28x%5E2%2By%5E2%3C=9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=blue%28x%5E2%2By%5E2%3C=3%5E2%29 ALIGN=MIDDLE  ALT=\"blue%28x%5E2%2By%5E2%3C=3%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > means all the points at a distance of 3 or less from the origin.<BR>\n" );
document.write( "That means all the points inside the circle centered at the origin, with radius 3 (including the circumference).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y%3E0 ALIGN=MIDDLE  ALT=\"x-y%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > includes all the points to one side of the line<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=green%28x-y=0%29 ALIGN=MIDDLE  ALT=\"green%28x-y=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=green%28y=x%29 ALIGN=MIDDLE  ALT=\"green%28y=x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , but not the points on the line <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( "So, you could say that the vertices are the points <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%283sqrt%282%29%2C3sqrt%282%29%29 ALIGN=MIDDLE  ALT=\"P%283sqrt%282%29%2C3sqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Q%28-3sqrt%282%29%2C-3sqrt%282%29%29 ALIGN=MIDDLE  ALT=\"Q%28-3sqrt%282%29%2C-3sqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "but those points are not part of the solution.<BR>\n" );
document.write( "The solution is the area inside the lines in the graph below,<BR>\n" );
document.write( "plus the blue boundary lines (but not the green line).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-5%2C5%2C-5%2C5%2C%0D%0Agrid%281%29%2C%0D%0Ablue%28arc%280%2C0%2C6%2C6%2C-45%2C135%29%29%2C%0D%0Ablue%28arc%280%2C0%2C6.05%2C6.05%2C-45%2C135%29%29%2C%0D%0Ablue%28arc%280%2C0%2C5.95%2C5.95%2C-45%2C135%29%29%2C%0D%0Agreen%28line%28-1.5sqrt%282%29%2C-1.5sqrt%282%29%2C-1.4%2C-1.4%29%29%2C%0D%0Agreen%28line%28-0.7%2C-0.7%2C0.7%2C0.7%29%29%2C%0D%0Agreen%28line%281.4%2C1.4%2C1.5sqrt%282%29%2C1.5sqrt%282%29%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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