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A relation is an expression that is not a function. A function is defined as only having one domain per range, meaning that when graphed, a function will have no two points on the same vertical line. If your expression is graphed and two points do appear on the same vertical line, it is a relation, not a function.

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In mathematics, a mere relation is a binary relation that is reflexive, symmetric, and transitive. This means that for any element a in a set, the relation must hold between a and itself (reflexive), if the relation holds between a and b, it must also hold between b and a (symmetric), and if the relation holds between a and b, and between b and c, it must also hold between a and c (transitive). Mere relations are fundamental in various mathematical structures and theories, such as equivalence relations and partial orders.

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1mo ago
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Q: What is a mere relation?
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