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Answer:
Set notation is given by
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,
For example if we list the elements of "the set of things on my alphabets , the set can be in the form
Sets are usually notated using capital letters. So let the set be "A". Then we have:
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:
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 and
. 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
and
, then:
C \cup D =\,
C \cap D = \,
These are pronounced as "C union D equals..." and "C intersect D equals...", respectively.