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Answer:
The answer is A on Edge or Image with a Circle what is not shaded in
Step-by-step explanation:
The graph of an inequality (x + 5)² + (y - 2)² ≥ 9 is the set if all points on the circle (x + 5)² + (y - 2)² = 3² and outside the circle.
"It is a mathematical statement of an order relationship (greater than, greater than or equal to, less than, or less than or equal to) between two algebraic expressions."
"It is a set of all points on the coordinate plane that follows given function."
"The equation of circle centered at (h, k) and radius 'r' is,
(x - h)² + (y - k)² = r² "
For given question,
We have been given an inequality (x + 5)² + (y - 2)² ≥ 9
We know the equation (x + 5)² + (y - 2)² = 9 would represent the equation of circle.
Comparing equation (x + 5)² + (y - 2)² = 3² with the standard form of circle,
We have r = 3, h = -5 and k = 2
This means, an equation (x + 5)² + (y - 2)² = 3² represents a circle with center at (-5, 2) and radius 3.
The solution to an inequality (x + 5)² + (y - 2)² ≥ 9 is the set if all points on the circle (x + 5)² + (y - 2)² = 3² and outside the circle.
The graph of an inequality (x + 5)² + (y - 2)² ≥ 9 is as shown below.
Therefore, the graph of an inequality (x + 5)² + (y - 2)² ≥ 9 is the set if all points on the circle (x + 5)² + (y - 2)² = 3² and outside the circle.
Learn more about the graph of inequality here:
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