Question

Write the given set in the set-builder form: {3, 6, 9, 12}

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 r = {3, 6, 9, 12}
here r is set of all positive integral multiple of 3 less than and equal to 12.
so, we can write r, in set - builder form
r = { x : x = 3n , n $\in$ N, 1 ≤ n ≤ 4}

Answer 2

Answer:

{ 3x : x € N , x ≤ 4 }

Step-by-step explanation:

{ 3 , 6 , 9 , 12 }

Set builder form :

{ 3x : x € N , x ≤ 4 }

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