Question

solve for $x$ and graph the solution on the number line below.$-3x - 5 \geq -2$ or $-23 \geq -3x - 5$answer attempt 2 out of 2$<$ $>$ $\leq$ $\geq$ orinequality notation: $square$number line:(number line with markings from -12 to 12, instruction: click and drag to plot line)submit answer

Explanation:

Step1: Solve first inequality

Start with $-3x - 5 \geq -2$. Add 5 to both sides:
$-3x - 5 + 5 \geq -2 + 5$
$-3x \geq 3$
Divide by -3 (reverse inequality):
$x \leq -1$

Step2: Solve second inequality

Start with $-23 \geq -3x - 5$. Add 5 to both sides:
$-23 + 5 \geq -3x - 5 + 5$
$-18 \geq -3x$
Divide by -3 (reverse inequality):
$6 \leq x$ or $x \geq 6$

Answer:

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

For the number line:

1. Plot a closed circle at $x=-1$ and draw an arrow pointing left (to represent all values less than or equal to -1).
2. Plot a closed circle at $x=6$ and draw an arrow pointing right (to represent all values greater than or equal to 6).