Use set notation to denote the elements, subsets, and complements of the following given sets. N is the set of odd natural numbers greater than 11 and less than 21. Use set notation to write the elements of N.

N = {13, 15, 17, 19)

N = {12, 14, 16, 18, 20}

N - {11, 12, 14, 16, 18, 20, 21)

N = {11, 13, 15, 17, 19, 21}

N = {13, 15, 17, 19} is the correct answer.

Step-by-step explanation:

We are given with the following details:

N is the set of odd natural numbers.

N contains the elements which are greater than 11 and less than 21.

To write: The set notation for the elements of set N.

Solution:

First of all, let us see what are odd natural numbers.

Natural numbers are the positive integers i. e. {1,2,3,4, ... }

Odd Natural numbers are the natural numbers which leave remainder as 1 when divided by 2 i. e. {1,3,5,7,9,11,13, ... 21, 23, 25, 27 ... }

Here, set N is odd natural numbers greater than 11 (so 11 will not be included) and less than 21 (so 21 will not be included). Odd natural numbers between 11 and 21 will be included.

So the answer will be N = {13,15,17,19}.