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Decide whether the following relation defines {(4,3),(1,3),(1,2)}

User Leo Le
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1 Answer

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Final answer:

The set {(4,3),(1,3),(1,2)} does not define a function since the x-value '1' maps to two different y-values, violating the definition of a function. To determine other properties of the relation, additional context is required.

Step-by-step explanation:

The question asks whether the set {(4,3),(1,3),(1,2)} defines a certain type of relation. In mathematics, a relation is defined as a set of ordered pairs. To decide if this is a function, for example, each first element (x-value) should map to exactly one second element (y-value). In this set, we can see that the first element '1' maps to two different second elements: '3' and '2'. This indicates that the relation is not a function because it does not satisfy the criterion of a function where a particular x-value should have only one corresponding y-value.

Moreover, without additional context, it is challenging to define the exact nature of the relation simply based on the provided set of ordered pairs. Relations can have other properties such as being symmetric, transitive, or reflexive depending on the context and criteria set for the relation.

User Alexblum
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