Look at the graph. Select the inequality whose graph is shown. yleqslant (1)/(2)x-1 ylt (1)/(2)x-1 C ygeqslant (1)/(2)x-1

To determine which inequality corresponds to the graph, we need to analyze the characteristics of the graph:<br /><br />1. **Line Type**: Check if the line is solid or dashed.<br /> - A solid line indicates a "less than or equal to" (≤) or "greater than or equal to" (≥) inequality.<br /> - A dashed line indicates a "less than" (<) or "greater than" (>) inequality.<br /><br />2. **Shading**: Determine where the shading is relative to the line.<br /> - If the shading is below the line, it represents a "less than" (< or ≤) inequality.<br /> - If the shading is above the line, it represents a "greater than" (> or ≥) inequality.<br /><br />Given the options:<br />- $y \leqslant \frac{1}{2}x - 1$: This would be a solid line with shading below.<br />- $y < \frac{1}{2}x - 1$: This would be a dashed line with shading below.<br />- $y \geqslant \frac{1}{2}x - 1$: This would be a solid line with shading above.<br /><br />Based on these descriptions, you can match the characteristics of the graph to the correct inequality. If the line is solid and the shading is below, the correct choice is $y \leqslant \frac{1}{2}x - 1$. If the line is dashed and the shading is below, the correct choice is $y < \frac{1}{2}x - 1$. If the line is solid and the shading is above, the correct choice is $y \geqslant \frac{1}{2}x - 1$.