Solve the compound inequality. \( -1<2 x-1 \leq 9 \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is \( \square \). Type your answer in interval notation.) B. The solution set is the empty set.

1. Start with the compound inequality: \[ -1 < 2x - 1 \leq 9 \] 2. Add \(1\) to all three parts of the inequality: \[ -1 + 1 < 2x - 1 + 1 \leq 9 + 1 \] which simplifies to: \[ 0 < 2x \leq 10 \] 3. Divide each part by \(2\) (since \(2\) is positive, the direction of the inequalities remains unchanged): \[ \frac{0}{2} < \frac{2x}{2} \leq \frac{10}{2} \] simplifying to: \[ 0 < x \leq 5 \] 4. In interval notation, the solution set is: \[ (0, 5] \] Answer: A. The solution set is \( (0, 5] \).