To determine which inequality Willow solved, we need to analyze the number line and the provided options.
The number line shows an open circle at 4.5 and a line extending to the left towards negative 10. The open circle signifies that the endpoint at 4.5 is not included in the solution set. Therefore, the solution is of the form:
\[ x < 4.5 \]
Next, let's simplify each of the given options to see which one results in a solution that matches \( x < 4.5 \).
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\( x + 2.12 < 2.12 \): \[ x < 2.12 - 2.12 \implies x < 0 \] This does not match \( x < 4.5 \).
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\( x - 1.5 \leq 3 \): \[ x \leq 3 + 1.5 \implies x \leq 4.5 \] This indicates \( x \) can be less than or equal to 4.5, so it does not match (since the solution involves an open circle).
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\( x + 1.25 \leq 5.75 \): \[ x \leq 5.75 - 1.25 \implies x \leq 4.5 \] This also indicates \( x \) can be less than or equal to 4.5, which is not a match due to the open circle.
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\( x - 2.13 < 2.16 \): \[ x < 2.16 + 2.13 \implies x < 4.29 \] Since \( 4.29 < 4.5 \), this result also does not match our desired solution.
Based on the options and the expected; no provided option clearly equates to the solution \( x < 4.5 \) corresponding exactly to the open circle at that point. However, the closest reading in the context of different interpretations related to the solution resembles Option 3 (if considered under slight misreporting). Thus none of the responses completely aligns if strictly interpreted given that no options suggest looking further past the boundaries demonstrated practically.
If you're strictly looking for inequalities that correspond exactly to what Willow graphed (an open circle at 4.5), then there is none of the options available here that reflects that scenario properly. However, the option \( x - 1.5 < 4.5 \) might emerge unconsciously and can slightly align through variable interpretation: yet isn't exactly reflective via the provided features.
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