document.write( "Question 720998: x - y < 7
\n" ); document.write( "2x - y > 11
\n" ); document.write( "y ≥ 0\r
\n" ); document.write( "\n" ); document.write( "I have an answer of y>1/1x-7, y<2/1x-11, y> or equal to 0.\r
\n" ); document.write( "\n" ); document.write( "Is this right, and if so, how to I graph it?
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Algebra.Com's Answer #442147 by DrBeeee(684)\"\" \"About 
You can put this solution on YOUR website!
Your three inequalities are correct.
\n" ); document.write( "To graph them you graph the three line that result by replacing the inequality sign with an EQUALS sign.
\n" ); document.write( "The first inequality
\n" ); document.write( "(1) y > x - 7 becomes
\n" ); document.write( "(2) y = x - 7, which is a line that crosses the y-axis at y = -7 and the x-axis at x = 7 (slope is one). Draw a dotted line (y cannot be on the line) through those two points.
\n" ); document.write( "The second inequality
\n" ); document.write( "(3) y < 2x - 11 becomes
\n" ); document.write( "(4) y = 2x - 11 which is a line that crosses the y-axis at y = -11 and the x-axis at x = 11/2 or 5.5, draw a dotted line (because y cannot lie on the line) through those two points.
\n" ); document.write( "The third inequality
\n" ); document.write( "(5) y >or= 0 becomes
\n" ); document.write( "(6) y = o. Draw a solid line (y can be equal to zero) on the x-axis between x>5.5 and x<7.
\n" ); document.write( "Now you have three lines on your graph.
\n" ); document.write( "The solution falls on or above the short segment of the x-axis, between the x>5.5 and x<7. That satisfies the third inequality. Note it can be on the x-axis where y=0.
\n" ); document.write( "To satisfy the first inequality, the values of y are above (can't be on) the line given by (2) starting at x>7.
\n" ); document.write( "To satisfy the second inequality, the values of y are below (not on) the line given by (4) starting at x>5.5.
\n" ); document.write( "The solution area is the sector that lies anywhere between the first and second in inequality and on or above the the x-axis between 5.5\n" ); document.write( "I hope this helps. There's a way to draw on this web page, but I haven't mastered it yet. Sorry.
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