Identify the interval notation given: \(\left(1, \infty\right)\).
Recall that parentheses in interval notation mean the endpoint is not included, so the value 1 is not part of the solution.
Translate the interval \(\left(1, \infty\right)\) into an inequality by expressing that \(x\) is greater than 1 but not equal to 1.
Write the inequality as \(x > 1\) to represent all values greater than 1.
Confirm that the inequality \(x > 1\) correctly matches the interval \(\left(1, \infty\right)\), since infinity is not a number but indicates all values larger than 1.