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Verified answer
Given
Set A can be rewritten as
Thus, we got a pattern,
So,
Set Builder form is
Basic Concept :-
Set :- Sets are represented as a collection of well-defined objects or elements
Representation of Sets
The sets are represented in curly braces, {}.
The elements in the sets are depicted in three forms
Statement Form
Roster Form
Set Builder Form
Solution
A={ 31 , 21 ,53 , 32 , 75 , 43 , 97}
Set A can be rewritten as
A={ 31, 42 , 53, 64 ,75, 86, 97}
A={ 1+21 , 2+22, 3+23, 4+24, 5+25, 6+26, 7+27 }
Thus, we got a pattern,
So,
Set Builder form is
Set :- Sets are represented as a collection of well-defined objects or elements
Representation of Sets
The sets are represented in curly braces, {}.
The elements in the sets are depicted in three forms
Statement form
Roster Form
Set Builder Form.
Statement Form
In statement form, the well-defined descriptions of a member of a set are written and enclosed in the curly brackets.
For example, the set of odd numbers less than 10. In statement form, it can be written as A = {odd numbers less than 10}.
Roster Form
In Roster form, all the elements of a set are listed in row, separated by commas and enclosed in { }.
For example, the set of natural numbers less than 9. In roster form, it is written as A = {1, 2, 3, 4, 5, 6, 7, 8}
Set Builder Form
The general form is, A = { x : property}