Question

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

Answer 1

N is set of Odd Natural Number greater than 11 and less than 21.

`\sf N = \{x:x\:is\:an\:integer\:and\:11 < x < 21\}`

`\textsf{Integers = ...8, 9, 10,$\underbrace{\textsf{ 11, 12, 13, 14, 15, 16, 17, 18, 19, 20,}}_(\sf Required\:Integers)$ 21, 22...}`

⠀⠀⠀
`\rule{160}{0.8}`

☢ Odd Number : Those Integers (never a fraction) which leaves remainder after Dividing by 2 are called Odd Number.

⠀

✩ Odd Number between 11 to 21 :

`:\implies\textsf{13, 15, 17, 19}\\\\\\:\implies\textsf{N = \{13, 15, 17, 19\}}`

Answer 2

N = {13, 15, 17, 19}

Explanation:

The natural numbers greater than 11 and less than 21 are:

12, 13, 14, 15, 16, 17, 18, 19 and 20

Odd numbers are numbers that have remainders when divided by 2. Out of the numbers above, the numbers with remainders when divided by 2 are 13, 15, 17 and 19.

Since N is the set of odd natural numbers greater than 11 and less than 21,

N = {13, 15, 17, 19}