document.write( "Question 1120285: 2x +y ≥ 8,x+2y ≥8,x+y ≤6 solve graphically \n" ); document.write( "

Algebra.Com's Answer #735956 by ikleyn(52802) $\"\"$ $\"About$

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document.write( "The given system of inequalities is equivalent to \r\n" );
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document.write( "y >= 8 - 2x          (1)\r\n" );
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document.write( "y >=            (2)\r\n" );
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document.write( "y <= 6 - x           (3)\r\n" );
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document.write( "The plot below represents line (1) in red, line (2) in green and line (3) in blue.\r\n" );
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document.write( "Plot y = 8 - 2x (red), y =  (green) and y = 6 - x (blue).\r\n" );
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document.write( "The solution to inequality (1) is the set of all points belonging to the half plane above the red line (including points of this line).\r\n" );
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document.write( "The solution to inequality (2) is the set of all points belonging to the half plane above the green line (including points of this line).\r\n" );
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document.write( "The solution to inequality (3) is the set of all points belonging to the half plane below the blue line (including points of this line).\r\n" );
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document.write( "The solution to the given system of inequalities (1), 2) and (3) is the intersection of the sets described above.\r\n" );
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document.write( "Thus the solution to the given system is the set of points belonging to the triangle which is ABOVE the red line, \r\n" );
document.write( "ABOVE the green line and BELOW the blue line.\r\n" );
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document.write( "Again: the solution is the set of points of the triangle which is restrained/confined by these three lines.\r\n" );
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\n" ); document.write( "\n" ); document.write( "The solution and the plot of the other tutor has no any relation to reality . . . \r
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