To determine which inequality corresponds to the blue region of the graph, we need to look at the characteristics of the line and the shading of the region.
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Identify the line: First, if the boundary line is given by the equation \( y = 3x - 1 \), we use this line to consider possible inequalities.
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Determine if the line is included: If the blue region includes the line itself, then the inequality will use \( \leq \) or \( \geq \). If it doesn't include the line, it will use \( < \) or \( > \).
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Check the direction of shading:
- If the shading is above the line, it would correspond to \( y > 3x - 1 \) or \( y \geq 3x - 1 \).
- If the shading is below the line, it would correspond to \( y < 3x - 1 \) or \( y \leq 3x - 1 \).
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Choose the correct inequality:
- If the line is \( y = 3x - 1 \) and the blue region is above this line (excluding the line), then we select \( y > 3x - 1 \).
- If the line is \( y = 3x - 1 \) and the blue region is below this line (including the line), then we select \( y \leq 3x - 1 \).
- If we have \( y = 1 - 3x \) and the blue region is above this line, we select \( y < 1 - 3x \).
Given this reasoning, if the information describes the blue region as being above the line where \( y = 3x - 1 \), the inequality y > 3x - 1 would be the correct choice. If the blue region is below this line and includes it, the correct choice would be y ≤ 3x−1.
Without seeing the graph, I cannot definitively pick one, but the analysis follows these steps. Please check the graph to match the situation described above.