Question

A= {x:x belongs to n , x<6 } .find the roaster form of set A​

Answer 1

Answer:

A= {1,2,3,4,5}

this is your answer

Answer 2

ANSWER :

Given :-

The set builder is :

$\Large{ \sf{ \bigstar \: \: A= \{ x : x \: \: belongs \: \: to \: \: n , \: x<6 \} \: }}$

• Here in the set A, x is a element which should be belonged to the Natural Number (n) and x should be less than 6 ( x < 6)

So the roaster form of set A will be :

$\Large{ \sf{ \bigstar \: \: A = \{ 1, 2, 3, 4, 5 \}}}$

• Here in the set A, the elements are the Natural Numbers (n) and less than 6.

MORE TO KNOW :

❖ Set :-

• In the later part of 19th century, George Cantor, a German mathematician introduced Set Theory ad a new discipline of mathematics.

• According to Cantor's concept, "A set is a collection of well defined and distinct objects". The word well defined means that given any object it must be possible to tell beyond doubt whether that object belongs to the collection or not and the word distinct means that no two elements of the set are same.

• The objects which are listed in a set are called the elements of a set. A set is usually denoted by a Capital Letter of English alphabet, while the elements of a set is usually denoted by Small Letters of English alphabet.

❖ Two methods used for representation of Set :-

• [1] Tabular or Roaster Method : In the Tabular or Roaster Method, the elements of a set are listed in any order with the braces { }, being separated by commas (,). For example:- If V is a set of the vowels of English alphabet, then it is written as : V = { a, e, i, o, u } or V = { u, e, a, o, i }.

• [2] Set Builder or Rule Method : In the Set Builder or Rule Method, x is used to represent the elements of the set which satisfy a definite property say P (x) and the set is expressed symbolically as { x : P (x) } or { x | P (x) }, that means, the set of all those elements x which satisfies property P (x). For example :- If V is a set of the vowels of English alphabet, then it is written as : V = { x : x is a vowel of English alphabet } or V = { x | x is a vowel of English alphabet }.