1. The problem asks us to find which values of $w$ make the inequality $2w > 21$ true. 2. The inequality is $2w > 21$. To solve for $w$, we divide both sides by 2. 3. Dividing both sides by 2: $$\frac{\cancel{2}w}{\cancel{2}} > \frac{21}{2}$$ which simplifies to $$w > \frac{21}{2}$$ 4. Calculate $\frac{21}{2}$: $$w > 10.5$$ 5. This means $w$ must be greater than 10.5 to satisfy the inequality. 6. Now, check each given value: - A. 12: $12 > 10.5$ is true. - B. 11: $11 > 10.5$ is true. - C. 10: $10 > 10.5$ is false. - D. 2: $2 > 10.5$ is false. - E. 1: $1 > 10.5$ is false. 7. Therefore, the values of $w$ that make $2w > 21$ true are 12 and 11.