document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=124640>Question 124640</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have to graph inequalities in two variables, and pick a point in each half plane. After, I have to test the points to see if they are true or false. Will someone help me graph them?\r<BR>\n" );
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document.write( "y<-1/2x-3\r<BR>\n" );
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document.write( "2x-3y<6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #91383 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=91383\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> graph inequalities in two variables, and pick a point in each half plane. After, I have to test the points to see if they are true or false. Will someone help me graph them? <BR>\n" );
document.write( "y<-1/2x-3 <BR>\n" );
document.write( "2x-3y<6<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "You start by graphing the boundaries:<BR>\n" );
document.write( "y = (-1/2)x-3 ; this is the boundary of y<(-1/2)x-3<BR>\n" );
document.write( "and<BR>\n" );
document.write( "y = (2/3)x-2 ; this is the boundary of y>(2/3)x-2<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%28-1%2F2%29x-3%2C%282%2F3%29x-2%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%28-1%2F2%29x-3%2C%282%2F3%29x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "You now have four half-planes---one on each side of each of the lines.<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Consider the boundary of  y < (-1/2)x-3<BR>\n" );
document.write( "Test point above the line: (0,0) <BR>\n" );
document.write( "0 < (-1/2)*0-3; false<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Test point below the line: (0,-4)<BR>\n" );
document.write( "-4 < (-1/2)*0 -3; true<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "Consider the boundary of y>(2/3)x-2<BR>\n" );
document.write( "Test point above the line: (0,0)<BR>\n" );
document.write( "0 > (2/3)*0 -2; true<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Test point below the line: (0,-4)<BR>\n" );
document.write( "-4 > (2/3)*0 -3 ; false<BR>\n" );
document.write( "=======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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