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Algebra/Solving systems of inequalities by graphing

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Expert: - 1/3/2010


Question
Find the coordinates of the vertices of the figue formed by each system of inequalities.
x>-3
y<-1/3x+3
y>x-1

Answer
For x>-3, draw a vertical line at x=-3 and x>-3 is everything to the right of the line.
Draw the line y = (-1/3)x+3 and y<(-1/3)x+3 is everything under the line.  
Draw the line y = x-1 and y>x-1 is everything over the line
So you have a triangular shaped area enclosed.

Algebra

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