To find a possible value of x that satisfies the inequality 3/5 < 1/x < 7/9, we can solve the inequalities separately:
1) 3/5 < 1/x
Cross-multiplying, we get 3x < 5.
Dividing both sides by 3, we have x < 5/3.
2) 1/x < 7/9
Cross-multiplying, we get x > 9/7.
Combining the results, we have 9/7 < x < 5/3.
A possible value of x within this range could be x = 2, as it satisfies the inequality 9/7 < 2 < 5/3. However, there are other possible values of x that fall within this range as well.