Subjects algebra

Point Solution

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1. The problem asks if the point $(1, 5)$ is a solution to the system of inequalities represented by the graph. 2. The graph has two boundary lines: - A solid line with positive slope passing through the origin, shading above it (green region). - A dashed line with negative slope, shading below it (blue region). 3. The solution region is where the shaded areas overlap: above the positive slope line and below the negative slope line. 4. The point $(1, 5)$ is located above both lines, in the blue shaded region. 5. Since the point is above the positive slope line (which requires $y \geq x$) and above the negative slope line (which requires $y \leq -x + b$ for some $b$), it does not satisfy the condition of being below the negative slope line. 6. Therefore, $(1, 5)$ is not in the overlapping solution region of the system. Final answer: B) No