document.write( "Question 1198414: Graph the solution for the following system of inequalities. \r
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Algebra.Com's Answer #832019 by ikleyn(52817) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Rewrite 1st inequality in equivalent form\r\n" );
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document.write( "    4x - 6 < 2y.\r\n" );
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document.write( "Then you have a system of two inequalities\r\n" );
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document.write( "    y > 2x - 3    (1)\r\n" );
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document.write( "    x > 3         (2)\r\n" );
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document.write( "      On the coordinate plane, plot straight line  y = 2x - 3.       (3).\r\n" );
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document.write( "It divides the coordinate plane in two halves above and below this straight line.\r\n" );
document.write( "Everything which is above this straight line, is the solution to inequality (1).\r\n" );
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document.write( "      Next, on the coordinate plane, plot straight line x = 3.       (4). \r\n" );
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document.write( "It is vertical line.\r\n" );
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document.write( "It divides the coordinate plane in two halves to the left of this line and to the right.\r\n" );
document.write( "Everything which is on the right of this straight line, is the solution to inequality (2).\r\n" );
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document.write( "The solution to the system is everything in the intersection of the two solution sets.\r\n" );
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document.write( "It is the solution to the given system of inequalities.\r\n" );
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document.write( "   +--------------------------------------------------------------------------+\r\n" );
document.write( "   |  AGAIN: the solution set to the given system of inequalities             |\r\n" );
document.write( "   |  is the set of points in the coordinate plane that are                   |\r\n" );
document.write( "   |  ABOVE the straight line (3) and on the RIGHT from the straight line (4).|\r\n" );
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document.write( "The points on the lines (3) and (4) are not included to the solution set.\r\n" );
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