document.write( "Question 1198986: Graph the solution to the system of inequalities given below:\r
\n" );
document.write( "\n" );
document.write( "x≤2
\n" );
document.write( "
\n" );
document.write( "y>−2x+2
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #832666 by Theo(13342)![]() ![]() You can put this solution on YOUR website! using the desmos.com calcullator, you would graph the oppositve of the inequalities. \n" ); document.write( "the area on the graph that is not shaded is your region of feasibility. \n" ); document.write( "the graph is shown below:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "as can be ween on the graph, the region of feasibility is where x <== 2 and where y >= 2x+2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "any point that satisfies those two inequalities will be in the region of feasibility.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "for example:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the point (4,20) will not satisfy those inequalities because x >= 2. \n" ); document.write( "on the graph, it is in the shaded region.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the point (-10,-20) will not satisfy those inequalities because it is not equal o or above the line of the equation y = 2x + 2. \n" ); document.write( "when x = -10, y = 2x + 2 becomes y = -18. \n" ); document.write( "y = -20 is not above or equal to -18. \n" ); document.write( "that point is in the shaded region as shown on the graph.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the point (-10,10) is in the feasible rregion and is not shaded. \n" ); document.write( "y = 2x + 2 = -18 is on the line when x = -10. \n" ); document.write( "y = 10 is above the line at that point when x = -10.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |