Question

Determine o intervalo que m pertence, de modo que :

alguém me ajuda!​

Answer 1

A função Seno é limitada no invervalo de [-1,1] ou seja :

$-1\leq\text{sen(x)}\leq1 \\\\ -1\leq 2\text{m}-5\leq 1 \\\\ \underline{\text{temos }}: \\\\ 2\text m-5\leq 1 \\\\ 2\text m \leq 6 \\\\ \boxed{\text m \leq 3} \\\\ {*} \\\\ 2\text m -5 \geq -1 \\\\ 2\text m \geq 4 \\\\ \boxed{\text m \geq 2}$

Portanto :

$2\leq\text m \leq 3 \\\\\ \underline{\text{ou seja}}:\\\\\ \huge\boxed{\text m \in [2,3]}\checkmark$

letra C