9514 1404 393
Answer:
64 < x ≤ 68
Explanation:
175 < 3x -17 ≤ 187
192 < 3x ≤ 204 . . . . . . . add 17
64 < x ≤ 68 . . . . . . . . . divide by 3
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Additional comment
I find it convenient to leave the inequality in the original form and do the math operations on each of the parts.
Perhaps more conventionally, you would rewrite the problem as two inequalities and solve each separately. You would find that you're performing the same operations in the same order on each of those separate inequalities.