Question

Determine the truth value of the following statement.

(∃n ∈Z)(n2= 3)

Answer 1

Solution:

$(∃n ∈Z)(n^2= 3) \\\Rightarrow n^2=3 \\\Rightarrow n=\pm \sqrt 3 \notin Z$

But given is $n \in Z$.

Thus, it is false.

Truth value is F.