Answer:
N = {13, 15, 17, 19}
Step-by-step 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}
N is set of Odd Natural Number greater than 11 and less than 21.
[tex]\sf N = \{x:x\:is\:an\:integer\:and\:11 < x < 21\}[/tex]
[tex]\textsf{Integers = ...8, 9, 10,$\underbrace{\textsf{ 11, 12, 13, 14, 15, 16, 17, 18, 19, 20,}}_{\sf Required\:Integers}$ 21, 22...}[/tex]
⠀⠀⠀[tex]\rule{160}{0.8}[/tex]
☢ Odd Number : Those Integers (never a fraction) which leaves remainder after Dividing by 2 are called Odd Number.
⠀
✩ Odd Number between 11 to 21 :
[tex]:\implies\textsf{13, 15, 17, 19}\\\\\\:\implies\textsf{N = \{13, 15, 17, 19\}}[/tex]
