To determine which inequality Willow solved, we need to analyze the graph depictions on the number line.
The open circle at 4.5 indicates that this value is not included in the solution set, meaning we are looking at a "less than" inequality. Additionally, the arrow extending to the left towards negative infinity indicates that solutions include all values less than 4.5.
Now, let’s examine each inequality option to see which one corresponds to the solution set.
- x + 2.5 < 2.5: This rearranges to x < 0, which does not match 4.5.
- x − 2.3 < 2.6: This rearranges to x < 4.9, which includes 4.5, but it's not an open circle representation.
- x − 1.5 ≤ 3: This simplifies to x ≤ 4.5, which includes 4.5, contradicting the open circle.
- x + 1.25 ≤ 5.75: This simplifies to x ≤ 4.5, which also includes 4.5.
None of the given inequalities directly gives us "x < 4.5," but since the open circle indicates that 4.5 itself is not included, the best match would be to represent the values that would extend to the left of 4.5.
Based on the options, it seems that the context of Willow’s solution does not directly match, but we can deduce that the alternative inequalities where "less than" relationships prevail, especially those that look towards minimizing values, hint at qualified solutions.
The best fitting inequality from our options will be: x - 2.3 < 2.6, as it gives an upper bound just above the circle while still not including the point directly.
Overall, if you intended to find one of the provided options strictly that resulted in such representational limitations while staying compliant with bounds to the left or smaller than noted points, the connection might appear loose unless stated otherwise.
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