Question: Select the values that make the inequality $$2u \leq -1$$ true. Then write an equivalent inequality, in terms of $$u$$.
1. **State the problem:** We need to find values of $$u$$ that satisfy the inequality $$2u \leq -1$$ and then write an equivalent inequality for $$u$$.
2. **Write the inequality:** $$2u \leq -1$$
3. **Isolate $$u$$:** To solve for $$u$$, divide both sides of the inequality by $$2$$.
4. **Division step:**
$$\frac{\cancel{2}u}{\cancel{2}} \leq \frac{-1}{2}$$
5. **Simplify:**
$$u \leq -\frac{1}{2}$$
6. **Interpretation:** The values of $$u$$ that satisfy the inequality are all numbers less than or equal to $$-\frac{1}{2}$$.
7. **Check values from the list:**
- Values less than or equal to $$-\frac{1}{2}$$ are $$-6, -5, -4, -3, -2, -1$$.
- Values $$0, 1, 2$$ do not satisfy the inequality.
**Final answer:**
Equivalent inequality: $$u \leq -\frac{1}{2}$$
Values that satisfy the inequality: $$-6, -5, -4, -3, -2, -1$$