document.write( "Question 69836: Graph the inequality.
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document.write( " x – y ≥ 2
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Algebra.Com's Answer #49890 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Graph the inequality. \n" ); document.write( "x – y >= 2 \n" ); document.write( ": \n" ); document.write( "Put it in the general \"y=\" form \n" ); document.write( "Subtract x from both sides and you have: \n" ); document.write( "-y >= 2 - x \n" ); document.write( ": \n" ); document.write( "We want y to be positive, multiply equation by -1, then you must reverse the inequality sign from: >=, to <= \n" ); document.write( "y <= x - 2 \n" ); document.write( ": \n" ); document.write( "Substitute these values for x, find y. At table should look like this: \n" ); document.write( " x | y \n" ); document.write( "------- \n" ); document.write( "-1 | -3 \n" ); document.write( "+2 | 0 \n" ); document.write( "+4 | +1 \n" ); document.write( ": \n" ); document.write( "Plot these, the graph should look like this: \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "Remember the equation has <= sign so the area of feasibility is \n" ); document.write( "at or below the line on the graph \n" ); document.write( ": \n" ); document.write( "Substitute values above and below the line to test the truth of the equation \n" ); document.write( "For example if we try x = 1, y = 1 which is not in the feasibility region, \n" ); document.write( "the equation is not true, conversely if we choose a point in the region, say, \n" ); document.write( "x = 4, y = -3, we have 4 - (-3) > 2 which is true \n" ); document.write( "; \n" ); document.write( "Does this make sense to you now? \n" ); document.write( " |