Question

3) Determine os valores reais que m pode assumir para que exista um número real x que satisfaça a igualdade sen x = 2m + 3. assinale a alternativa correta: *
3 pontos
= { ∈ / − ≤ ≤ 0 }
= { ∈ / − ≤ ≤− }
= { ∈ / −1 ≤ ≤− }
= { ∈ / ≤ ≤ }

Answer 1

$\boxed{\begin{array}{l}\sf-1\leqslant sen(x)\leqslant1\\\sf-1\leqslant2m+3\leqslant1\\\sf -1-3\leqslant2m+\backslash\!\!\!3-\backslash\!\!\!3\leqslant1-3\\\sf -4\leqslant2m\leqslant-2\\\sf-\dfrac{4}{2}\leqslant\dfrac{\backslash\!\!\!2m}{\backslash\!\!\!2}\leqslant-\dfrac{\backslash\!\!\!2}{\backslash\!\!\!2}\\\\\sf -2\leqslant m\leqslant-1\end{array}}$