document.write( "Question 1104003: Hi. I have an inequalities system:
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Algebra.Com's Answer #718737 by ikleyn(52788) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Let me re-write the given system in this EQUIVALENT but more understandable form:\r\n" );
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document.write( "-0.5x - 3y <= 5,     (1)\r\n" );
document.write( "    x +  y <= 0.5,   (2)\r\n" );
document.write( "    x      >= -4.    (3)\r\n" );
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document.write( "Equation (1)  represents the half-plane  y >=      (4)    above the corresponding straight line;\r\n" );
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document.write( "Equation (2)  represents the half-plane  y <= -0.5 - x       (5)    below the corresponding straight line;\r\n" );
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document.write( "Equation (3)  represents the half-plane  x >= -4             (6)    to the right of the corresponding vertical straight line.\r\n" );
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document.write( "All the lines are shown in the Figure below:\r\n" );
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document.write( "Plots  y =  (red),  y = -0.5 - x (green),  x = -4 (blue)\r\n" );
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document.write( "So the solution set is the INTERSECTION of the listed domains, which is the triangle area constrained by the red, green and blue straight lines.\r\n" );
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document.write( "The lines (the sides of the triangle) are INCLUDED to the solution set borders.\r\n" );
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