document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=5881>Question 5881</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what does the inequality 2x-4y>-6 look like on a graph? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #3087 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=3087\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> first find what 2x-4y=-6 looks like, since this will be a straight line you can plot/sketch. Then 2x-4y>-6 will be either the region above the line or the region below the line.\r<BR>\n" );
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document.write( "So, to stech the line, we need it in the form y=mx+c, so:\r<BR>\n" );
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document.write( "2x-4y=-6<BR>\n" );
document.write( "-4y=-2x-6 or...<BR>\n" );
document.write( "4y = 2x+6<BR>\n" );
document.write( "y = (2/4)x + 6/4<BR>\n" );
document.write( "--> y = (1/2)x + 3/2\r<BR>\n" );
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document.write( "so, we know the gradient is +1/2<BR>\n" );
document.write( "and we know the line crosses the y-axis at y=3/2.\r<BR>\n" );
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document.write( "So, sketch that.\r<BR>\n" );
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document.write( "Now for your question...where is 2x-4y>-6? well, following through the same process:\r<BR>\n" );
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document.write( "2x-4y > -6<BR>\n" );
document.write( "-4y > -2x-6 or...<BR>\n" );
document.write( "4y < 2x+6 -- since we multiplied all terms by -1 (to swap all signs round) we swap the > into a <<BR>\n" );
document.write( "y < (2/4)x + 6/4<BR>\n" );
document.write( "--> y < (1/2)x + 3/2\r<BR>\n" );
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document.write( "so, where is y less than the straight line? Answer: below the line.\r<BR>\n" );
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document.write( "So we want the region below the line.\r<BR>\n" );
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document.write( "Jon.\r<BR>\n" );
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