Question

Write the given set in the set-builder form: {2, 4, 6, ...}

Answer 1

there are two methods to represent a set.
(1) set - builder form and (2) roaster form.

$\textbf{set-builder form}$ : when the collection of objects of a set is represented by using its properties is known as set builder form. for example : A = {1,2, 3, 4, 5} is given then we can write A in set builder form of A = {x : x is a natural number less than 6}.

here, Let A = {2, 4, 6, .....}
It is a set of all even natural numbers. 
Hence set A = {2, 4, 6 …} can be written in set builder form as A = {x: x is an even natural number}.

Answer 2

Answer:

{ 2x : x € N }

Step-by-step explanation:

{ 2 , 4 , 6 , .... }

Set builder Form :

{ 2x : x € N }

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