Write the negation of the following statement and check whether the resulting statement is true:
Every natural number is greater than $0.$
Every natural number is greater than $0.$
(N/A) The negation of the statement is:
It is false that every natural number is greater than $0.$
This can be rewritten as:
There exists a natural number which is not greater than $0.$
Since all natural numbers are defined as $n \in \{1, 2, 3, \dots\}$,every natural number is indeed greater than $0.$ Therefore,the negation statement is false.
It is false that every natural number is greater than $0.$
This can be rewritten as:
There exists a natural number which is not greater than $0.$
Since all natural numbers are defined as $n \in \{1, 2, 3, \dots\}$,every natural number is indeed greater than $0.$ Therefore,the negation statement is false.
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