To calculate: The solution of the system of inequality and given he coordinates of any corner points.
The common region in the graph is the solution of the inequality and the corner points are
Given Information:
The system of inequality is,
Calculation:
Consider the given system of inequality,
The boundary point is included if the inequality containing
In the first inequality, the boundary is
And,
The intercepts of the equation are
To determine the half-plane to be shaded, use a test point not on the boundary, say
The statement is true so the shade the half-plane where
In the second inequality, the boundary is
And,
The intercepts of the equation are
To determine the half-plane to be shaded, use a test point not on the boundary, say
The statement is true so the shade the half-plane where
In the third inequality, the boundary is
And,
The intercepts of the equation are
To determine the half-plane to be shaded, use a test point not on the boundary, say
The statement is not true so the shade the half-plane where
Now, make the graph of the inequality.
Thus, the shaded part by both the inequality is the solution of the inequality.
And the corner points are defined as,
Hence, the corner points are
Chapter 7 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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