Subjects algebra

Linear Inequality 60F794

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1. The problem asks to identify which inequality corresponds to the graph described. 2. The line crosses the y-axis at 5 and slopes downward, so the equation of the line is $y = -3x + 5$. 3. The shaded region is below the line, which means the inequality is $y \leq -3x + 5$ or $y < -3x + 5$. 4. Since the line itself is included in the shaded region (solid line), the inequality must be $y \geq -3x + 5$ or $y \leq -3x + 5$. 5. The shading is below the line, so the correct inequality is: $$y \leq -3x + 5$$ 6. Therefore, the correct answer is $y \leq -3x + 5$.