document.write( "Question 325360: Graph the inequality on a plane\r
\n" ); document.write( "\n" ); document.write( "2x + 3y (is less than or equal to) 6
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Algebra.Com's Answer #232999 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Graph the inequality on a plane
\n" ); document.write( "2x + 3y (is less than or equal to) 6
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\n" ); document.write( "1st: Graph the boundary of the inequality:
\n" ); document.write( "3y = -2x+6
\n" ); document.write( "y = (-2/3)x + 2
\n" ); document.write( "----
\n" ); document.write( "\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%28-2%2F3%29x%2B2%29\"
\n" ); document.write( "That is the graph of the EQUALITY.
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\n" ); document.write( "2nd: Pick a test point that is not on the boundary.
\n" ); document.write( "Pick (0,0)
\n" ); document.write( "Test it in the INEQUALITY:
\n" ); document.write( "2*0 + 3*0 < 6
\n" ); document.write( "0 < 6
\n" ); document.write( "That is true.
\n" ); document.write( "So the graph of the INEQUALITY is the half-plane
\n" ); document.write( "containing (0,0).
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\n" ); document.write( "\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C+y%3C%28-2%2F3%29x%2B2%29\"
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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