What does an inequality represent in mathematics?

An inequality represents a mathematical relationship that denotes the comparison between two expressions or values, showing that they are not equal and that one is either greater than, less than, greater than or equal to, or less than or equal to the other. This comparison can be used to express a range of values that satisfy a particular condition.

In this context, when we refer to it as a statement comparing two unequal expressions, we pinpoint the essence of inequalities: they inform us about the relationship between quantities or values without implying equality. Understanding this concept is fundamental in various areas of mathematics, such as algebra, where inequalities are used to represent constraints, boundaries, or ranges in problem-solving scenarios.

The other options, while touching on other mathematical concepts, do not accurately define an inequality. A condition that is always true refers more to identities or axioms, simultaneously equations imply multiple equations being solved together, and calculating averages pertains to a specific mathematical operation rather than a comparative relationship.