Question

Which of the following statements is false? (N = natural numbers) Ø N {0} N {1} N

Answer 1

Answer:

Option 2 - $\{0\}\in N$

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) $\phi \in N$

This statement is true as $\phi$ is an empty set exist in every set.

2) $\{0\}\in N$

This statement is false as natural number starts from 1.

3) $\{1\}\in N$

This statement is true as natural number starts from 1.

Therefore, the false statements is $\{0\}\in N$

So, option 2 is correct.

Answer 2

Assuming each statement is claiming the first set is a subset of N, the second statement is false. 0 is not part of the natural numbers.