Respuesta :
Answer:
Set notation is given by
[tex]{\bf X}= \{{\bf setofallelements\}}[/tex]
Step-by-step explanation:
A set is a collection of things. The objects in the set are called the elements, and they are expressed within in curly braces.
Let X be the set and is notated by
ie, [tex]X=\{set of all elements\}[/tex]
For example if we list the elements of "the set of things on my alphabets , the set can be in the form
[tex] \{ a,b,c,...,z\}[/tex]
Sets are usually notated using capital letters. So let the set be "A". Then we have:
[tex]A = \{a,b,c,...,z \}[/tex]
If the sets are unordered, which means that the elements in the set have not to be listed in order. The set above mentioned can be easily written as:
[tex]A = \{ a,c u,d,...,i \}[/tex]
To say that any element is an element of a set. . For example, to say that "d is an element of the set A", we would write the following:
d ∈A
This is pronounced as "d is an element of A".
There are the symbols to use:
N : the set of all natural numbers ,Z : the set of all integers
,Q : the set of all rationals ,R : the set of all real numbers.
Sets can be related to each other. If one set contains another set is called a subset.
Suppose [tex]A=\{ 1, 2, 3 \}[/tex] and
[tex]B = \{ 1, 3, 4, 6 \}[/tex]. Then A is a subset of B, since everything in A is also in B. Therfore it can be written as:
A ⊂B
it is pronounced as "is a subset of"or A contains B
To show something is not a subset
B is not a subset of A ie, B⊄A and is pronounced as "B is not a subset of A" or B not contains A
Combination of two sets is called the union sets, and is notated by a large U-type symbol. If we only taking common elements from two sets, then it is called the intersection sets, and is notated by upside-down U-type symbol. So if
[tex]C = \{ 1, 2, 3, 4, 5, 6 \}[/tex] and [tex]D = \{ 4, 5, 6, 7, 8, 9 \}[/tex], then:
C \cup D =\, [tex]{C \bigcup D}= \{ 1, 2, 3, 4, 5, 6, 7, 8, 9 \}[/tex]
C \cap D = \, [tex]{C \bigcap D}= \{ 4, 5, 6 \}[/tex]
These are pronounced as "C union D equals..." and "C intersect D equals...", respectively.
