document.write( "Question 1057102: Hi Tutors, \r
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document.write( "y−4x≥−1 \n" );
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Algebra.Com's Answer #672197 by solve_for_x(190)![]() ![]() ![]() You can put this solution on YOUR website! You can graph this by rearranging it into the y = mx + b format.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Adding 4x to both sides gives:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y ≥ 4x - 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The boundary line of this region will be represented by the line:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 4x - 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To plot this line, find the x and y intercepts.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Setting x = 0 gives y = -1, so the y-intercept is (0, -1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Setting y = 0 gives x = 1/4, so the x-intercept is (1/4, 0)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Plot those two points.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since the relation in the inequality includes equality (i.e. ≥ instead of just >), you want to connect the two intercept points with a solid line.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Finally, since the inequality relation includes the \"greater than\" condition, you need to shade the region that is above the line that you drew. \n" ); document.write( " |