document.write( "Question 206992: -2x + y < 6 \n" ); document.write( "

Algebra.Com's Answer #156500 by dlam5(15) $\"\"$ $\"About$

You can put this solution on YOUR website!
-2x + y < 6;\r
\n" ); document.write( "\n" ); document.write( "Move a couple to terms around so that the y's are on the left, and x's on right.\r
\n" ); document.write( "\n" ); document.write( "THIS IS CALLED \"SOLVING FOR Y\"\r
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\n" ); document.write( "\n" ); document.write( "you get y< 2x +6\r
\n" ); document.write( "\n" ); document.write( "Now graph; but where does it shade?\r
\n" ); document.write( "\n" ); document.write( "What I do is pick a point not on the line.\r
\n" ); document.write( "\n" ); document.write( "0,0 is not on that line; so plug 0 for x and 0 for y.\r
\n" ); document.write( "\n" ); document.write( "0 < 2(0) + 6
\n" ); document.write( "0<6\r
\n" ); document.write( "\n" ); document.write( "it is true, 0 IS less than 6. so i shade TOWARD the AREA which CONTAINS the point (0,0)\r
\n" ); document.write( "\n" ); document.write( "Thus, i shade right.\r
\n" ); document.write( "\n" ); document.write( "The graph should look like this...\r
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\n" ); document.write( "\n" ); document.write( " $\"+graph%28300%2C200%2C+-10%2C+10%2C+-10%2C+10%2C+y%3C2x%2B6%29+\"$ \n" ); document.write( "

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