document.write( "Question 33534: -2x-5y (less than or equal too) 10. Thanks in advance. \n" ); document.write( "
Algebra.Com's Answer #19937 by longjonsilver(2297)\"\" \"About 
You can put this solution on YOUR website!
\"+-2x+-+5y+%3C=+10+\"
\n" ); document.write( "\"+2x+%2B+5y+%3E=+-10+\"
\n" ); document.write( "\"+5y+%3E=+-2x+-10+\"
\n" ); document.write( "\"+y+%3E=+-%282%2F5%29x+-+2+\"\r
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\n" ); document.write( "\n" ); document.write( "So, we need to draw the line \"+y+=+-%282%2F5%29x+-+2+\" which goes through (0,-2).\r
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\n" ); document.write( "\n" ); document.write( "Need to find one more point. Lets pick when x=5...
\n" ); document.write( "\"+y+=+-%282%2F5%29%285%29+-+2+\"
\n" ); document.write( "\"+y+=+-2+-+2+\"
\n" ); document.write( "y=-4\r
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\n" ); document.write( "\n" ); document.write( "So we have \"graph%28300%2C300%2C+-10%2C2%2C-4%2C4%2C-%282%2F5%29x+-+2%29+\"\r
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\n" ); document.write( "\n" ); document.write( "Now we need to know the region \"+y+%3E=+-%282%2F5%29x+-+2+\". Hopefully, from common sense, if you are OK with graphs, you can tell if this is the region above or below the line.\r
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\n" ); document.write( "\n" ); document.write( "If you cannot decide, then pick any point off line, the obvious one being the origin (0,0) which is above the line:
\n" ); document.write( "y and \"+-%282%2F5%29x+-+2+\"
\n" ); document.write( "0 and \"+-%282%2F5%29%280%29+-+2+\"
\n" ); document.write( "0 and -2
\n" ); document.write( "0 is greater than -2\r
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\n" ); document.write( "\n" ); document.write( "So (0,0) lies in the region where y is greater than \"+-%282%2F5%29x+-+2+\"\r
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\n" ); document.write( "\n" ); document.write( "So, the region \"+y+%3E=+-%282%2F5%29x+-+2+\" is that one ABOVE the line.\r
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\n" ); document.write( "\n" ); document.write( "jon.
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