You can put this solution on YOUR website! Can you tell me how to graph the inequality "y is less than or equal to negative x squared plus 3?"
y <= -x+3
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You must ALWAYS graph the equality in order to see the graph of an inequality.
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Graph y = -x+3
You need two points:
Let x = 0, then y = 3 giving you point (0,3)
Let x = 3, then y = 0 giving you point (3,0)
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Plot the two points and draw a line thru them.
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To graph the INEQUALITY test a point that is not on the boundary line,
which is the graph of the equality.
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Test the point (0,0) in the inequality.
You get 0 < -0+3
That is true so the solution to the inequality is the half-plane
that contains (0,0)
Shade the half-plane below the boundary line.
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Ans: All the points that are on the line or in the half-plane
below the line.
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Cheers,
Stan H.
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