Final answer:
An expression representing a value that is one more than a given integer variable x is x + 1. This is a basic concept in algebra and is used in various mathematical contexts including statistics and probability.
Step-by-step explanation:
The expression that can be used to represent a value that is one more than a given integer variable, x. In mathematics, particularly in algebra, if you have a variable x and you want to express a value that is one greater than x, you would use the expression x + 1. This is a basic arithmetic operation where you add the number one to the variable in question.
For example, if x represents the number of extracurricular activities a high school student is engaged in, and you want to express one more activity than the student currently participates in, you would represent this as x + 1. In probability and statistics, working with such variables requires understanding their behavior and relationship with other factors, as indicated by expressions like P(X > x + k|X > x) = P(X > k), which helps in determining probabilities.