To find all integer values of x satisfying the inequality -1 < 2x - 5 ≤ 5, we can solve it in two steps. First, we’ll solve the left side of the inequality -1 < 2x - 5:

-1 < 2x - 5 4 < 2x 2 < x

So x must be greater than 2. Next, we’ll solve the right side of the inequality 2x - 5 ≤ 5:

2x - 5 ≤ 5 2x ≤ 10 x ≤ 5

So x must be less than or equal to 5. Combining these two results, we find that x must be greater than 2 and less than or equal to 5, which means that the integer values of x satisfying the inequality are 3, 4, and 5