To write: a system of inequalities that represented by the given graph.
Answer to Problem 23PPE
Explanation of Solution
Given information: a figure is given as follows-
Since the dark line passes through the points (-1, 1) and (0, 2). So, its equation is
This divides the xy-plane into two regions and two inequalities are possible such as
Take any point from the colored region and put this value in the above inequalities which satisfies is the required inequality.
Such as take a point (0, 0) from the colored region, the inequality which contains this point is
Again the dotted linepasses through the points (0, 0) and (-3, 1). So, its equation is
This divides the xy-plane into two regions and two inequalities are possible such as
Take any point from the colored region and put this value in the above inequalities which satisfies is the required inequality.
Such as take a point (0, -1) from the colored region, the inequality which contains this point is
Thus the required inequality represented by above figure is
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