What role do relations play in mathematics?

Relations in mathematics refer to the way in which two or more quantities are connected. They can be represented in various forms, such as equations, graphs, or sets of ordered pairs. The correct answer highlights that relations are indeed symbols that compare expressions, such as inequality signs (<, >) or equal signs (=). These symbols help to establish a relationship between different mathematical entities.

Understanding that relations compare expressions is foundational for grasping how different equations interact and how values can be manipulated. This comparison is essential in algebra, calculus, and further mathematics, where determining how numbers and variables relate to one another is critical for problem-solving and reasoning.

The ability to use relations accurately allows students to develop logical reasoning and comprehend functions and graphs, laying the groundwork for more advanced mathematical concepts.