Question 720998: x - y < 7
2x - y > 11
y ≥ 0
I have an answer of y>1/1x-7, y<2/1x-11, y> or equal to 0.
Is this right, and if so, how to I graph it?
Answer by DrBeeee(684)   (Show Source):
You can put this solution on YOUR website! Your three inequalities are correct.
To graph them you graph the three line that result by replacing the inequality sign with an EQUALS sign.
The first inequality
(1) y > x - 7 becomes
(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.
The second inequality
(3) y < 2x - 11 becomes
(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.
The third inequality
(5) y >or= 0 becomes
(6) y = o. Draw a solid line (y can be equal to zero) on the x-axis between x>5.5 and x<7.
Now you have three lines on your graph.
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.
To satisfy the first inequality, the values of y are above (can't be on) the line given by (2) starting at x>7.
To satisfy the second inequality, the values of y are below (not on) the line given by (4) starting at x>5.5.
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
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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