Question

if x is the set of numbers obtained by adding 1 to each of the even numbers then its set - builder notation is​

Answer 1

SOLUTION

GIVEN

X is the set of numbers obtained by adding 1 to each of the even numbers

TO DETERMINE

The set - builder notation of the set

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

Representation of Set :

A set can be represented in following ways

(i) Statement form method

(ii) Roster or tabular form method

(iii) Rule or set builder form method

EVALUATION

Here it is given that X is the set of numbers obtained by adding 1 to each of the even numbers

Now the set of even numbers

= { 2n : n ∈ N }

Thus the required set in set builder form is

= { 2n + 1 : n ∈ N }

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Answer 2

Answer:

x:x is an odd and x belongs to Z