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, \( D \triangle H = \{b, c, d, e\} \).

No vote yet

1 vote

×

Problem Loading...

Note Loading...

Set Loading...

Easy Math Editor

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

Sort by:

TopNewestH\T can also be written H - T.

Log in to reply

Ya ......dear right

Log in to reply

As a non-mathematician I found some of the thinking in these examples quite puzzling and hard to follow!

Log in to reply

Complement of H = H'

Log in to reply

Enlightening

Log in to reply

how do you solve when there is an unknown is a given set?

Log in to reply

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

Log in to reply