document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=969805>Question 969805</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What graph correctly represents 1/3y-1/2x>2? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #592538 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=592538\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Put it in the form of y =mx +b, or in this instance, y> mx +b\r<BR>\n" );
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document.write( "move the (1/2) x to the right by adding it to both sides of the inequality\r<BR>\n" );
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document.write( "(1/3)y>(1/2)x +2\r<BR>\n" );
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document.write( "Multiply by 3 on both sides to get y by itself.\r<BR>\n" );
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document.write( "y>(3/2) x +6\r<BR>\n" );
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document.write( "This is a graph with y intercept of (0,6) and a moderate upward and to the right slope.  Because it is > , the line on the graph will NOT be part of the solution.\r<BR>\n" );
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document.write( "The easiest way to find the side of the graph that the inequality satisfies is to use (0,0) and see if it works or doesn't work.  In the original equation, 0-0>2 does NOT work, so the area where the inequality works is to the up and left of the graph, which should be a dotted line to show that the inequality is greater than only.\r<BR>\n" );
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document.write( "The point (6,-2) should work.<BR>\n" );
document.write( "Test it.  6*(1/3)-(-2)*(1/2)>0  ;   2-(-1)=3, and 3>2  It does work.\r<BR>\n" );
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document.write( "The point (6,2) should not work\r<BR>\n" );
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document.write( "Test it.  6 *(1/3)-2(1/2)=2-1 ;  1 is NOT >2, so it does not work.\r<BR>\n" );
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document.write( "If the graph goes through the origin, then pick a point near the graph with a small x or y.\r<BR>\n" );
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