Solve the inequality, for $$ w $$. $$ -4 \geq \frac{2 w}{7} $$ Simplify your answer as much as possible.

Question

UpStudy AI · Accepted Answer

To solve the inequality for $$ w $$:

$$
-4 \geq \frac{2w}{7}
$$

**Step 1:** Eliminate the fraction by multiplying both sides by 7. Since 7 is positive, the direction of the inequality remains the same.

$$
-4 \times 7 \geq 2w
$$
$$
-28 \geq 2w
$$

**Step 2:** Solve for $$ w $$ by dividing both sides by 2. Again, since 2 is positive, the inequality direction remains unchanged.

$$
\frac{-28}{2} \geq w
$$
$$
-14 \geq w
$$

This can also be written as:

$$
w \leq -14
$$

**Final Answer:**

$$ w \leq -14 $$
$$ w \leq -14 $$

Solve the inequality, for .

Simplify your answer as much as possible.