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Given:
The graph of a linear inequality.
The boundary line passes through the points (0,-2) and (1,1), and the shaded region lies above the boundary line.
To find:
The inequality for the given graph.
Solution:
The boundary line passes through the points (0,-2) and (1,1), so the equation of the boundary line is:
Subtract 2 from both sides.
The boundary line is a solid line and the shaded area lies above the boundary line, so the sign of inequality must be .
Therefore, the required inequality is .