Question

solve for x and graph the solution on the number line below.
-x - 3 ≥ -2 or -x - 3 ≤ -9
answer attempt 2 out of 2
inequality notation:
number line:

Explanation:

Step1: Solve first inequality

Start with $-x - 3 \geq -2$. Add 3 to both sides:
$-x - 3 + 3 \geq -2 + 3$
$-x \geq 1$
Multiply by -1 (reverse inequality):
$x \leq -1$

Step2: Solve second inequality

Start with $-x - 3 \leq -9$. Add 3 to both sides:
$-x - 3 + 3 \leq -9 + 3$
$-x \leq -6$
Multiply by -1 (reverse inequality):
$x \geq 6$

Answer:

Inequality Notation: $x \leq -1$ or $x \geq 6$

For the number line:

• Place a closed dot at $x=-1$ and shade all values to the left of $-1$.
• Place a closed dot at $x=6$ and shade all values to the right of $6$.