Question

Write the given set in the set-builder form: {1, 4, 9, . . .100}

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 = {1, 4, 9, ..... 10}
we observed that , 1² = 1, 2² = 4, 3² = 9, 10² = 100
hence, we can write A in set - builder form,
A = {x : x = n² , n$\in$N and 1 ≤ n ≤ 10}

Answer 2

Answer:

{ x² : x € N , x ≤ 10 }

Step-by-step explanation:

{ 1 , 4 , 9 ,... , 100 }

= { 1² , 2² , 3² , ...., 10² }

Set builder Form :

{ x² : x€ N , x ≤ 10 }

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