To determine which inequality Willow solved, we can analyze each option by simplifying or solving them step-by-step.
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x + 1.25 ≤ 5.75
- Subtract 1.25 from both sides: \[ x ≤ 5.75 - 1.25 \ x ≤ 4.5 \]
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x - 1.5 ≤ 3
- Add 1.5 to both sides: \[ x ≤ 3 + 1.5 \ x ≤ 4.5 \]
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x + 2.5 < 2.5
- Subtract 2.5 from both sides: \[ x < 2.5 - 2.5 \ x < 0 \]
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x - 2.33 < 2.16 (since 2 1/3 is approximately 2.33, and 2 1/6 is approximately 2.16)
- Add 2.33 to both sides: \[ x < 2.16 + 2.33 \ x < 4.49 \]
After simplifying all the inequalities, we have:
- \( x ≤ 4.5 \)
- \( x ≤ 4.5 \)
- \( x < 0 \)
- \( x < 4.49 \)
Thus, the inequalities x + 1.25 ≤ 5.75 and x - 1.5 ≤ 3 both simplify to \( x ≤ 4.5 \), while x + 2.5 < 2.5 leads to the solution \( x < 0\) and x - 2.33 < 2.16 leads to \( x < 4.49 \).
If Willow's graph shows a closed circle at 4.5 on the number line (included) or an open circle at values below 0 or below approximated 4.49, you can select the corresponding inequality.
Based on the inequalities and assuming a typical graph representation, the satisfactory choices are:
- x + 1.25 ≤ 5.75
- x - 1.5 ≤ 3
If required to pick one, either of the first two can be selected based on presentation, but both result in the same graph solution.
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