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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

Question

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

Solution

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Answer

To determine which inequality corresponds to the graph, we need to analyze the characteristics of the graph:1. **Line Type**: Check if the line is solid or dashed. - A solid line indicates a "less than or equal to" (≤) or "greater than or equal to" (≥) inequality. - A dashed line indicates a "less than" () inequality.2. **Shading**: Determine where the shading is relative to the line. - If the shading is below the line, it represents a "less than" ( or ≥) inequality.Given the options:- : This would be a solid line with shading below.- : This would be a dashed line with shading below.- : This would be a solid line with shading above.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 . If the line is dashed and the shading is below, the correct choice is . If the line is solid and the shading is above, the correct choice is .