document.write( "Question 1120284: 1) x ≤ 3y, x≥y. (2) y ≥ 2x, −2x+3y ≤6. (3) 3x +5y ≥ 45, x ≥ 0,y ≥ 0.
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Algebra.Com's Answer #736030 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "In my yesterday's posts I explained to you in  VERY  DETAILED  form how to solve such problems.\r
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\n" ); document.write( "\n" ); document.write( "Therefore,  today I will not go in details and will show you the dry results only.\r
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\n" ); document.write( "\n" ); document.write( "1) x <= 3y, x >= y.\r
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document.write( "Rewrite it in the equivalent form\r\n" );
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document.write( "   y >= \"%281%2F3%29%2Ax\",\r\n" );
document.write( "   y <= x.\r\n" );
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document.write( "Plot y = \"%281%2F3%29%2Ax\" (red)  and  y = x (green)\r\n" );
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document.write( "The set of solutions to the given inequality system are the points in quadrant QI belonging to the angle between \r\n" );
document.write( "the red and the green straight rays.\r\n" );
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document.write( "It includes the interior of this angle and the restricting rays.\r\n" );
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\n" ); document.write( "\n" ); document.write( "(2) y >= 2x, -2x+3y <= 6.\r
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document.write( "Rewrite it in the equivalent form\r\n" );
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document.write( "   y >= 2x,\r\n" );
document.write( "   y <= \"%282x%2B6%29%2F3\".\r\n" );
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document.write( "Plot y = 2x (red)  and  y = \"%282x%2B6%29%2F3\" (green)\r\n" );
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document.write( "The set of solutions to the given inequality system are the points above the red line and below the green line in quadrants \r\n" );
document.write( "QI, QII and QIII belonging to the angle between the red and the green straight rays.\r\n" );
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document.write( "It includes the interior of this angle and the restricting rays.\r\n" );
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\n" ); document.write( "\n" ); document.write( "(3) 3x +5y >= 45, x >= 0, y>= 0.\r
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document.write( "Rewrite it in the equivalent form\r\n" );
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document.write( "   y >= \"%2845-3x%29%2F5\",\r\n" );
document.write( "   x >= 0,  y >=0.\r\n" );
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document.write( "Plot y = \"%2845-3x%29%2F5\"\r\n" );
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document.write( "The set of solutions to the given inequality system are the points above the red line in QI, including the points on this line and on coordinate axes. \r\n" );
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\n" ); document.write( "\n" ); document.write( "In principle,  I do not like to repeat my explanations again and again to the same person.\r
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\n" ); document.write( "\n" ); document.write( "Why I do it now in this post is only because I can not see and tolerate this  RUBBISH  that @shin produces
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\n" ); document.write( "\n" ); document.write( "Simply ignore it,  for your safety . . . \r
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