document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=296282>Question 296282</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you tell me how to graph the inequality \"y is less than or equal to negative x squared plus 3?\" </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #213536 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=213536\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Can you tell me how to graph the inequality \"y is less than or equal to negative x squared plus 3?\"<BR>\n" );
document.write( "y <= -x+3<BR>\n" );
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document.write( "You must ALWAYS graph the equality in order to see the graph of an inequality.<BR>\n" );
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document.write( "Graph y = -x+3<BR>\n" );
document.write( "You need two points:<BR>\n" );
document.write( "Let x = 0, then y = 3 giving you point (0,3)<BR>\n" );
document.write( "Let x = 3, then y = 0 giving you point (3,0)<BR>\n" );
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document.write( "Plot the two points and draw a line thru them.<BR>\n" );
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document.write( "To graph the INEQUALITY test a point that is not on the boundary line,<BR>\n" );
document.write( "which is the graph of the equality.<BR>\n" );
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document.write( "Test the point (0,0) in the inequality.<BR>\n" );
document.write( "You get 0 < -0+3<BR>\n" );
document.write( "That is true so the solution to the inequality is the half-plane<BR>\n" );
document.write( "that contains (0,0)<BR>\n" );
document.write( "Shade the half-plane below the boundary line.<BR>\n" );
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document.write( "Ans: All the points that are on the line or in the half-plane<BR>\n" );
document.write( "below the line.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.   </SPAN>\n" );
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