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Relations and representations

Mathematics — first biennium · Lesson

First year · Flex

Relations and representations

A relation is a set of ordered pairs. Reading a pair means respecting the direction first element → second element.

Key idea
Formula matematica
Similar example
Formula matematica

Prerequisites: Cartesian product

Goal: Read a relation as a set of ordered pairs and move between simple representations.

What you need to know before the exercises

In this lesson: Read a relation as a set of ordered pairs and move between simple representations.

New concept: A relation from A to B is a set of ordered pairs selected from A×B. Saying that a is related to b means that the pair (a,b) belongs to the relation.

How to proceed: Do not read the pair as a set: position and direction are part of the information.

You can already assume: Cartesian product.

Try it now

Read the relation and identify the pairs it contains.

Guided

Completed exercises: 0/5 · Correct on first attempt: 0

How to reason

Do not read the pair as a set: position and direction are part of the information.

Data / situation: R={(0,x),(1,y),(2,z)}

Your competency map

What you need to know for Relations and representations

ConceptStep separates what is required from what is recommended or useful as reinforcement. Only required prerequisites block your progress.

Current topic Strong skill Review due Needs reinforcement To be mastered Optional support

Relationships: solid line = required · dashed line = recommended · dotted line = reinforcement.

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