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 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

b.
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.

c.
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.

d.
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.

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:

Creio ser a sua alternativa A. A resposta correta é a seguinte:

(∀n ∈ N) (≡m ∈ N) (mdc (n, m) ≠ 1)

Explicação passo a passo:

conferido

Answer 2

Resposta:

(∀n ∈ N) (≡m ∈ N) (mdc (n, m) ≠ 1)

Explicação passo a passo:

ava