A **Venn Diagram** is a way to visualize set relations between a finite number of sets. Below is a Venn Diagram for three sets \(T, D,\) and \(H\).

## We introduce some notation from Set Theory:

\( |T|\) is the number of elements in set \( T\).

Intersectionof two sets, denoted \( \cap\), refers to the elements that are in both sets. In the example, \( T \cap D = \{ d, g\} \).

Unionof two sets, denoted \( \cup\), refers to the elements that are in at least one of the two sets. In the example, \( T \cup H = \{a, c, d, e, f, g\} \).

Complement (Absolute), denoted \( ^c\), refers to the elements that are not in the set. In the example, \( D^c = \{ a, c, e, i\} \).

Complement (Relative), denoted \( \backslash\), refers to the elements in the first set, but are not in the second set. In the example, \( H\backslash T = \{ c, f \} \).

Symmetric Difference, denoted \( \triangle\), refers to the elements that are in at least one of the two sets, but are not in both sets. In the example, \( D \triangle H = \{b, c, d, e\} \).

## Comments

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TopNewestH\T can also be written H - T. – Bhagirath Mehta · 2 years, 12 months ago

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– Vishal Bambhaniya · 2 years, 6 months ago

Ya ......dear rightLog in to reply

Complement of H = H' – Arijit Konar · 1 year, 1 month ago

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how do you solve when there is an unknown is a given set? – Anthony Ishmael · 3 years ago

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– Louie Arnold Panganiban · 2 years, 11 months ago

yeah,, idont find this post useful in solving,, please how do you actually solve???Log in to reply