document.write( "Question 499019: Please tell me how I would graph this. The question is:
\n" ); document.write( "Graph the solution set of the following system of inequalities:
\n" ); document.write( "x^2+y^2 less than or equal to 25
\n" ); document.write( "y greater than or equal to |x| \n" ); document.write( "

Algebra.Com's Answer #852312 by ikleyn(52834) $\"\"$ $\"About$

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\n" ); document.write( "Please tell me how I would graph this. The question is:
\n" ); document.write( "Graph the solution set of the following system of inequalities:
\n" ); document.write( "x^2+y^2 less than or equal to 25
\n" ); document.write( "y greater than or equal to |x|
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document.write( "Equation  x^2 + y^2 = 25  describes a circle of the radius of 5 units,\r\n" );
document.write( "centered at the origin of the coordinate system.\r\n" );
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document.write( "Inequality  x^2 + y^2 <= 25  describes the interior of this circle,\r\n" );
document.write( "including the circle itself.\r\n" );
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document.write( "Equation y = |x|  describes two rays on the plane.\r\n" );
document.write( "One ray bisects first quadrant; the other ray bisects the second quadrant.\r\n" );
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document.write( "So, inequality y >= |x|  describes the set of points on the coordinate plane between these rays.\r\n" );
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document.write( "The system of inequalities\r\n" );
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document.write( "    x^2 + y^2 <= 25,\r\n" );
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document.write( "    y >= |x|\r\n" );
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document.write( "describes the intersection of these two sets.\r\n" );
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document.write( "In other words, it is the interior of the circle, which is concluded between the two rays.\r\n" );
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document.write( "All the boundaries are included to the set.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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