To determine which inequality Willow solved based on the provided information about the graph on a number line, we would typically need to reference the graph to see whether it has an open or closed circle, and the direction of the shading (to the left or right of a point).
Since I can't see the image or the number line graph you're referring to, I will provide guidance on how to analyze each inequality to find the correct solution.
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x - 213 < 216
- Solving gives: \( x < 216 + 213 \) or \( x < 429 \).
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x - 2 and 1 third < 2 and 1 sixth
- Converting to improper fractions: \( x < \frac{7}{3} + \frac{13}{6} \)
- This is another inequality with a specific numerical solution.
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x + 1.75 ≤ 5.75
- Solving gives: \( x ≤ 5.75 - 1.75 \), so \( x ≤ 4 \).
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x + 212 < 212
- This simplifies to \( x < 0 \).
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x - 1.5 ≤ 3
- Solving gives: \( x ≤ 3 + 1.5 \), so \( x ≤ 4.5\).
To find the correct inequality:
- Check for signs of the inequality: If the graph has a closed (filled) circle, it indicates "less than or equal to" (≤). If it has an open circle, it indicates "less than" (<).
- Check the direction of shading: If the arrow or shading goes to the left, that indicates \( x \) is less than a value. If it goes to the right, that indicates \( x \) is greater than a value.
By comparing the numerical solutions derived above with the graph (which you would observe), you can determine which inequality matches the graph.
If you can provide more specifics about the graph (like if it has open/closed circles, or what values are marked), I would be able to give a more precise answer.
