document.write( "Question 325360: Graph the inequality on a plane\r
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document.write( "2x + 3y (is less than or equal to) 6 \n" );
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Algebra.Com's Answer #232999 by stanbon(75887)![]() ![]() ![]() 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 \n" ); document.write( "----------------- \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( " \n" ); document.write( "That is the graph of the EQUALITY. \n" ); document.write( "------ \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). \n" ); document.write( "------- \n" ); document.write( " \n" ); document.write( "---------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |