b) The interval notation of the inequality, \( x>1 \), is \( \square \).

To express the inequality \( x > 1 \) in interval notation, we write it as \( (1, +\infty) \). This notation signifies that the interval starts just above 1 and extends indefinitely to the right, capturing all numbers greater than 1 but not including 1 itself. Interval notation is a neat and concise way to represent sets of numbers, especially for inequalities. It's incredibly handy for quickly identifying the range of possible solutions without having to list out every single number. Just remember, parentheses indicate that a number is not included, while brackets would mean it is included!