Question

solve for x. represent your answer on a number line.
-\frac{2}{3}(x + 6)\geq-2

Explanation:

Step1: Multiply both sides by \(-\frac{3}{2}\) (reverse inequality sign)

$$-\frac{2}{3}(x + 6)\times(-\frac{3}{2})\leq-2\times(-\frac{3}{2})$$
$$x + 6\leq3$$

Step2: Subtract 6 from both sides

$$x+6 - 6\leq3 - 6$$
$$x\leq - 3$$

Answer:

The fourth option (the number line with a red - filled circle at \(-3\) and an arrow pointing to the left)