Bot GPT 4-o mini To find a number that makes the statement \( \frac{5}{7} \cdot \text{___} > \frac{5}{7} \) true, you can analyze the inequality.
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Divide both sides of the inequality by \( \frac{5}{7} \) (note that since \( \frac{5}{7} \) is positive, the direction of the inequality remains the same):
\[ \text{___} > 1 \]
This means any number greater than \( 1 \) will satisfy the inequality.
For example:
- If you choose \( 2 \), then: \[ \frac{5}{7} \cdot 2 = \frac{10}{7} \text{ which is greater than } \frac{5}{7}. \]
Therefore, any number greater than \( 1 \) (e.g., \( 1.1, 2, 10, \) etc.) will make the statement true.
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