SOLUTION: how do you solve and graph this inequality: y>1/2-1

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Question 242881: how do you solve and graph this inequality: y>1/2-1
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
how do you solve and graph this inequality:
y > (1/2)x - 1
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You never graph an inequality directly.
You 1st of all graph the corresponding
boundary EQUALITY.
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Graph y = (1/2)x -1 as a dashed line.
If x = 0, y = -1
If x = 2, y = 0
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Plot the points (0,-1) and (2,0)
and draw a dashed line thru them.
That is the boundary line.
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Since you want y to be LESS than (1/2)x -1,
shade the half-plane BELOW the boundary line.
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graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cy%3C%281%2F2%29x-1%29
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Cheers,
Stan H.