Bot GPT 4-o mini To make the statement \( \frac{5}{7} \cdot x > \frac{5}{7} \) true, we can divide both sides of the inequality by \( \frac{5}{7} \) (as long as \( \frac{5}{7} \) is positive, which it is):
\[ x > 1 \]
Now we need to evaluate each option to see which one is greater than 1:
A) \( \frac{17}{8} = 2.125 \) (greater than 1)
B) \( \frac{4}{5} = 0.8 \) (less than 1)
C) \( \frac{4}{9} \) (approximately 0.444...; less than 1)
D) \( \frac{3}{3} = 1 \) (not greater than 1)
The only option greater than 1 is:
A) \( \frac{17}{8} \)
Therefore, the answer is A.
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