Answer:
Option 2 - [tex]\{0\}\in N[/tex]
Step-by-step explanation:
Given : N = Natural numbers
To find : Which of the following statements is false?
Solution :
The natural numbers is the set of positive integers which is {1,2,3,4,5,6,7,8,9}.
1) [tex]\phi \in N[/tex]
This statement is true as [tex]\phi[/tex] is an empty set exist in every set.
2) [tex]\{0\}\in N[/tex]
This statement is false as natural number starts from 1.
3) [tex]\{1\}\in N[/tex]
This statement is true as natural number starts from 1.
Therefore, the false statements is [tex]\{0\}\in N[/tex]
So, option 2 is correct.
