To help you identify the inequality shown on a graph, I would typically need to see the graph for context, including details such as the type of shading (above or below a line) and the behavior of the line (solid or dashed).
However, I can explain how to write an inequality with the variable \( w \) coming first:
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Identify the line: Determine if the line is solid or dashed. A solid line indicates that the points on the line are included in the inequality (≤ or ≥), while a dashed line indicates they are not ( < or >).
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Determine the slope and y-intercept: From the graph, find the slope (rise/run) and the y-intercept (where the line crosses the y-axis) to form the equation of the line in slope-intercept form (y = mx + b).
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Shading direction: Check which side of the line is shaded, indicating whether the inequality is greater than or less than.
Once you gather all that information, you can form the inequality with the variable \( w \). For example:
- If the line is solid, shaded below, and the equation is \( y = 2w + 3 \), you might write \( w \leq -\frac{3}{2} \).
- If the line is dashed, shaded above, you might write \( w > 2 \).
Please provide the details of the graph for a specific inequality, and I can help you write it out!
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