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Subsets and inclusion

Mathematics — first biennium · Lesson

Sets

Subsets and inclusion

∈ is used between an element and a set. ⊂ marks a proper subset; ⊆ also allows the two sets to be equal.

Rule
Formula matematica
Example
Formula matematica
What you need to know before the exercises

In this lesson: Distinguish an element from a subset and deliberately use ∈, ⊂ and ⊆.

How to proceed: First decide whether the object on the left is an element or a set. Only then choose between membership and inclusion.

You can already assume: Set, element and membership.

Try it now

Complete with the correct symbol knowing that {a,b,c} contains exactly the elements of C.

Guided

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

How to reason

First decide whether the object on the left is an element or a set. Only then choose between membership and inclusion.

Formula matematica
Your competency map

What you need to know for Subsets and inclusion

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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