Questions: Find the values of (x) that satisfy the inequality. (Enter your answer using interval notation.) [ 0 leq x+5 leq 9 ]

To solve the inequality \(0 \leq x+5 \leq 9\), we need to break it into two separate inequalities: \(0 \leq x+5\) and \(x+5 \leq 9\). Solve each inequality for \(x\) and then find the intersection of the solutions to determine the range of \(x\) that satisfies both conditions. Finally, express the solution in interval notation.

La desigualdad dada es:

\[ 0 \leq x + 5 \leq 9 \]

Primero, resolvamos la desigualdad \(0 \leq x + 5\).

Restamos 5 de ambos lados:

\[ 0 - 5 \leq x + 5 - 5 \]

\[ -5 \leq x \]

Ahora, resolvamos la desigualdad \(x + 5 \leq 9\).

Restamos 5 de ambos lados:

\[ x + 5 - 5 \leq 9 - 5 \]

\[ x \leq 4 \]

Ahora combinamos las dos desigualdades que hemos resuelto:

\[ -5 \leq x \leq 4 \]

La solución en notación de intervalo es:

\[ \boxed{[-5, 4]} \]