document.write( "Question 426938: A little help please?!\r
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document.write( "Find the system of inequalities whose feasible region is the interior of the rectangle with vertices (corner points) of (-3, 4); (5, 4); (5, -1); (-3, -1)\r
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document.write( "I have NO idea??
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document.write( "Thank you in advance!! :) \n" );
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Algebra.Com's Answer #296941 by Theo(13342)![]() ![]() You can put this solution on YOUR website! you need to find the equation of the lines that make up the sides of this rectangle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "from the looks of your points, you have a vertical line that can be created between the points of (-3,4) and (-3,-1). it's a vertical line because the x-value remains the same while the y-value changes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you have another vertical line that can be created between the points of (5,4) and (5,-1).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you have a horizontal line that can be created between the points of (-3,4) and (5,4). it's a horizontal line because the y-value remains the same while the x-value changes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you have another horizontal line that can be created between the points of (-3,-1) and (5,-1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your shaded region will be within the rectangle formed.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let's create the equations of the lines involved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your 2 vertical lines will have the equations of x = -3, and x = 5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your 2 horizontal lines will have the equations of y = 4, and y = -1.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your shaded region within the rectangle will be formed from the equations.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x > -3 and x < 5 which can be written as -3 < x < 5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "and:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y > -1 and y < 4 which can be written as -1 < y < 4.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x > -3 would be the area to the right of the line x = 3. \n" ); document.write( "x < 5 would be the area to the left of the line x = 5 \n" ); document.write( "y > -1 would be the area above the line y = -1. \n" ); document.write( "y < 4 would be the area below the line y = 4.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the area on the graph that is common to all these requirements is the area within the rectangle formed by the equations of these lines.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a picture of what your graph looks like is shown below:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |