Question

Assinale a alternativa que corresponde à negação da seguinte proposição: left parenthesis there exists n element of straight natural numbers right parenthesis left parenthesis for all m element of straight natural numbers right parenthesis left parenthesis m d c left parenthesis n comma m right parenthesis equals 1 right parenthesis.
a.

left parenthesis for all n element of straight natural numbers right parenthesis left parenthesis for all m element of straight natural numbers right parenthesis left parenthesis m d c left parenthesis n comma m right parenthesis equals 1 right parenthesis.
b.

left parenthesis there exists n element of straight natural numbers right parenthesis left parenthesis for all m element of straight natural numbers right parenthesis left parenthesis m d c left parenthesis n comma m right parenthesis not equal to 1 right parenthesis.
c.

left parenthesis for all n element of straight natural numbers right parenthesis left parenthesis for all m element of straight natural numbers right parenthesis left parenthesis m d c left parenthesis n comma m right parenthesis equals 0 right parenthesis.
d.

left parenthesis for all n element of straight natural numbers right parenthesis left parenthesis there exists m element of straight natural numbers right parenthesis left parenthesis m d c left parenthesis n comma m right parenthesis not equal to 1 right parenthesis
e.

left parenthesis for all n element of straight natural numbers right parenthesis left parenthesis there exists m element of straight natural numbers right parenthesis left parenthesis m d c left parenthesis n comma m right parenthesis equals 1 right parenthesis.

Answer 1

Resposta:

(∀n ∈ N) (≡m ∈ N) (mdc (n, m) ≠ 1)

Explicação passo a passo:

gabarito

Answer 2

Resposta:

(∀n ∈ N) (≡m ∈ N) (mdc (n, m) ≠ 1)

Explicação passo a passo: