Question

The set of reciprocals of natural numbers in set builder form ​

Answer 1

SOLUTION

TO DETERMINE

The set of reciprocals of natural numbers in set builder form

CONCEPT TO BE IMPLEMENTED

SET

A set is a well defined collection of distinct objects of our perception or of our thought, to be conceived as a whole

Commonly we shall use capital letters A, B, C.... to denote sets and small letters a, b, c.... to denote objects ( or elements) of a set

REPRESENTATION OF SET

A set can be represented in following ways

• Set Builder form

• Tabular or Roster

EVALUATION

Here we have to find the set of reciprocals of natural numbers in set builder form

Set of natural numbers is

$\sf{ \mathbb{N} = \{ \: 1,2,3,... \}}$

Hence the required Set is

$\displaystyle \sf{ \bigg \{ \: \frac{1}{n} : n \in \mathbb{N} \: \bigg \}}$

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Answer 2

Step-by-step explanation:

SOLUTION

TO DETERMINE

The set of reciprocals of natural numbers in set builder form

CONCEPT TO BE IMPLEMENTED

SET

A set is a well defined collection of distinct objects of our perception or of our thought, to be conceived as a whole

Commonly we shall use capital letters A, B, C.... to denote sets and small letters a, b, c.... to denote objects ( or elements) of a set

REPRESENTATION OF SET

A set can be represented in following ways

Set Builder form

Tabular or Roster

EVALUATION

Here we have to find the set of reciprocals of natural numbers in set builder form

Set of natural numbers is

N={1,2,3....}

Hence the required Set is

{1/n :n∈N}

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