Question

Which number would make this statement true 5/7 • ____> 5/7 A 17/8 B 4/5 C 4/9 D 3/3

Answer 1

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.**