Question

Write the set(5,25, 125,625) in the set-builder form.​

Answer 1

Answer:

There are two methods to represent a set.

(1) set - builder form and (2) roaster form.

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 = {5, 25, 125, 625}

we observed that , 5 = 5¹ , 25 = 5², 125 = 5³

625 = 5⁴

so, we can write A in set - builder form,

A = {x : x = 5ⁿ , n\inN and 1 ≤ n ≤ 4}

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Answer 2

Step-by-step explanation:

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 = {5, 25, 125, 625}

we observed that , 5 = 5¹ , 25 = 5², 125 = 5³

625 = 5⁴

so, we can write A in set - builder form,

A = {x : x = 5ⁿ , n\in∈ N and 1 ≤ n ≤ 4}

I hope this helps you

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