Intersection sign

The intersection sign ∩ selects the elements that two sets have in common. It differs from union, which includes elements from either set.

IN FOCUS∩

INTERSECTION

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Meaning and context

The intersection sign ∩ selects the elements that two sets have in common. It differs from union, which includes elements from either set.

How to use it

Use braces or defined set names around the operands. If there are no common elements, write the empty set rather than a numeric zero.

Examples

Shared element

{1, 2} ∩ {2, 3} = {2}

Only 2 belongs to both sets.

No overlap

{a} ∩ {b} = ∅

The intersection is an empty set.

Similar shapes, different characters

∪

Union

U+222A

Union includes elements from either set.

Details
∧

Logical and

U+2227

The logical connective can express a related idea but is a different operator.

Details

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Character details

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