Question

Write the given set in the set-builder form: {2, 4, 8, 16, 32}

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, 8, 16, 32}
we observed that 2 = 2¹ , 4 = 2² , 8 = 2³ , 16 = 2⁴
and 32 = 2^5
so, we can write A in set builder form,
A = {x : x = 2ⁿ , n$\in$N and 1 ≤ n ≤ 5}

Answer 2

Answer:

{ 2ⁿ : n € N , n≤ 5 }

Step-by-step explanation:

{ 2 , 4 , 8 , 16 , 32 }

= { 2¹ , 2² , 2³ , 2⁴ , 2^5 }

Set builder form :

{ 2ⁿ : n € N , n ≤ 5 }

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