document.write( "Question 391179: how do I aolve and graph this linear inequality?
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document.write( "-x +2y (is less than or equal to) 4? \n" );
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Algebra.Com's Answer #277467 by haileytucki(390)![]() ![]() You can put this solution on YOUR website! -x+2y<=4 first, solve for y\r \n" ); document.write( "\n" ); document.write( "Since -x does not contain the variable to solve for, move it to the right-hand side of the inequality by adding x to both sides. \n" ); document.write( "2y<=x+4\r \n" ); document.write( "\n" ); document.write( "Divide each term in the inequality by 2. \n" ); document.write( "(2y)/(2)<=(x)/(2)+(4)/(2)\r \n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the inequality by canceling the common factors. \n" ); document.write( "y<=(x)/(2)+(4)/(2)\r \n" ); document.write( "\n" ); document.write( "Combine the numerators of all expressions that have common denominators. \n" ); document.write( "y<=(x+4)/(2)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then for x:\r \n" ); document.write( "\n" ); document.write( "-x+2y<=4\r \n" ); document.write( "\n" ); document.write( "Since 2y does not contain the variable to solve for, move it to the right-hand side of the inequality by subtracting 2y from both sides. \n" ); document.write( "-x<=-2y+4\r \n" ); document.write( "\n" ); document.write( "Multiply each term in the inequality by -1. \n" ); document.write( "-x*-1>=-2y*-1+4*-1\r \n" ); document.write( "\n" ); document.write( "Multiply -x by -1 to get x. \n" ); document.write( "x>=-2y*-1+4*-1\r \n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the inequality by multiplying out all the terms. \n" ); document.write( "x>=2y-4\r \n" ); document.write( "\n" ); document.write( "Your points to graph=\r \n" ); document.write( "\n" ); document.write( "(-4,0) (-2,1) (0,2) (1,2.5)(4,4)...and so on.\r \n" ); document.write( "\n" ); document.write( "Your grahph should appear with a line going from bottom left to upper right \n" ); document.write( " |