What are the different notations in sets?
To learn about sets we shall use some accepted notations for the familiar sets of numbers.
Some of the different notations used in sets are:
∈
∉ : or | ∅ n(A) ∪ ∩ N W I or Z Z+ Q Q+ R R+ C |
Belongs to
Does not belongs to Such that Null set or empty set Cardinal number of the set A Union of two sets Intersection of two sets Set of natural numbers = {1, 2, 3, ……} Set of whole numbers = {0, 1, 2, 3, ………} Set of integers = {………, -2, -1, 0, 1, 2, ………} Set of all positive integers Set of all rational numbers Set of all positive rational numbers Set of all real numbers Set of all positive real numbers Set of all complex numbers |
These are the different notations in sets generally required while solving various types of problems on sets.
Note:
(i) The pair of curly braces { } denotes a set. The elements of set are written inside a pair of curly braces separated by commas.
(ii) The set is always represented by a capital letter such as; A, B, C, …….. .
(iii) If the elements of the sets are alphabets then these elements are written in small letters.
(iv) The elements of a set may be written in any order.
(v) The elements of a set must not be repeated.
(vi) The Greek letter Epsilon ‘∈’ is used for the words ‘belongs to’, ‘is an element of’, etc.
Therefore, x ∈ A will be read as ‘x belongs to set A’ or ‘x is an element of the set A'.
(vii) The symbol ‘∉’ stands for ‘does not belongs to’ also for ‘is not an element of’.
Therefore, x ∉ A will read as ‘x does not belongs to set A’ or ‘x is not an element of the set A'.
● Set Theory
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