Concept explainers
To graph: The system of inequalities
Explanation of Solution
Given information:
The inequalities
Graph:
Consider the inequalities
Take the first inequality
Take the equality and construct the graph
This represent a circle with center
Take a point say
Substitute it in inequality
This is true so shade the part that is toward the point
That is shade the inner part of the circle and boundary will be solid.
Take the second inequality
Take the equality and construct the graph
This represent a circle with center
Take a point say
Substitute it in inequality
This is false so shade the part that is away from the point
That is shade the outer part of the circle and boundary will be solid.
The blue color represents the inequality
Now, take the common region to both the inequalities.
The red color region depicts the common region to inequalities
Interpretation:
The common region is a circle as it the common intersection of two circles
Chapter 13 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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