The graph of an inequality y > -x + 2 is the region above the line y = -x + 2 ( as shown below).
Therefore, the correct answer is an option (B)
What is inequality?
"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."
For given question,
We have been given an inequality y > -x + 2
To draw the graph of an inequality y > -x + 2:
First we draw the line y = -x + 2
For x = -3,
y = -(-3) + 2
y = 5
For x = 2,
y = -2 + 2
y = 0
This means, the points (-3, 5) and (2, 0) lie on the line y = -x + 2
Draw the line passing through (-3, 5) and (2, 0)
The solution of an inequality y > -x + 2 is the set of all points which are above the line y = -x + 2
The dotted line means, the line y = -x + 2 is not the part of solution set of an inequality y > -x + 2
The graph of the inequality y > -x+2 is as shown below.
The graph of y > -x+2 is the region above the line y = -x + 2
Therefore, the correct answer is an option (B)
Learn more about inequality here:
https://brainly.com/question/20383699
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