Question

solve and graph the following inequality: -9 - x ≤ -5
provide an answer accurate to the nearest tenth.
inequality
graph:
number line options

Explanation:

Step1: Solve the inequality

$$\begin{align*} -9 - x &\leq -5\\ -x&\leq -5 + 9\\ -x&\leq 4\\ x&\geq - 4 \end{align*}$$

Step2: Graph the inequality

On the number line, we have a closed circle at $x = - 4$ (because the inequality is $\geq$, including the equal - sign) and the line extends to the right (since $x$ is greater than or equal to $-4$).

Answer:

The solution of the inequality is $x\geq - 4$. On the number line, there is a closed circle at $-4$ and the line goes to the right.