To determine which inequality Josie solved based on the description, we will analyze the options given:
-
x - 1.25 ≤ 1.25
Rearranging gives:
\( x ≤ 1.25 + 1.25 \)
\( x ≤ 2.5 \) -
x - 1.25 ≥ 1.25
Rearranging gives:
\( x ≥ 1.25 + 1.25 \)
\( x ≥ 2.5 \) -
x + 0.5 < 3
Rearranging gives:
\( x < 3 - 0.5 \)
\( x < 2.5 \) -
x + 1.25 ≥ 1.25
Rearranging gives:
\( x ≥ 1.25 - 1.25 \)
\( x ≥ 0 \)
Based on these calculations:
- The first inequality corresponds to \( x ≤ 2.5 \).
- The second inequality corresponds to \( x ≥ 2.5 \).
- The third inequality corresponds to \( x < 2.5 \).
- The fourth inequality corresponds to \( x ≥ 0 \).
If the graph that Josie created shows values on the number line that include all numbers less than 2.5 (a circle on 2.5, not included), then she solved x + 0.5 < 3.
If it shows all values including and greater than 2.5 (a filled circle on 2.5), she solved x - 1.25 ≥ 1.25.
If it shows values less than or equal to 2.5 (a filled circle on 2.5), it would be x - 1.25 ≤ 1.25.
If it shows values greater than or equal to 0, it would be x + 1.25 ≥ 1.25.
Without the specific graph indicating which circles were filled in or open, we cannot definitively identify the inequality Josie solved just from the inequalities given. However, if you're looking for an answer that is likely based on typical solutions, x + 0.5 < 3 seems like a common choice leading to a solution reflecting that x is less than a certain value.
Please see the graph or details to confirm which specific inequality she solved, as it determines the exact response.
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