To graph: The system of inequalities,
Explanation of Solution
Given information:
The system of inequalities
Graph:
To plot the graph of an inequality, replace inequality sign by equal sign and find the boundary curve.
If inequality is of type
Here in
Equation
Comparing it with a standard form of an equation of a circle with center at origin
So,
Now,
Find some ordered pairs of
For that choose
Choose
Choose
So, the two points on a line
Now, plot ordered pairs
Now, to plot the graph of system of inequality
Choose a test point and substitute in inequality, if test point satisfies the inequality shade the region which includes test point otherwise shade the region which does not include test point.
For a line
Substitute
For a circle
Substitute
Therefore, The graph of system of inequality
Thus the intersection of the shaded region gives the resulting graph as,
Interpretation:
The graph represents a system of inequalities,
Chapter 11 Solutions
Precalculus
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