1. **State the problem:** Solve the inequality $$1 \leq \frac{u - 1}{5}$$ for $u$. 2. **Recall the rule for inequalities:** When multiplying or dividing both sides of an inequality by a positive number, the inequality direction remains the same. 3. **Multiply both sides by 5 to eliminate the denominator:** $$1 \leq \frac{u - 1}{5}$$ Multiply both sides by 5: $$5 \times 1 \leq 5 \times \frac{u - 1}{5}$$ 4. **Show cancellation of 5 in the denominator:** $$5 \leq \cancel{5} \times \frac{u - 1}{\cancel{5}}$$ 5. **Simplify:** $$5 \leq u - 1$$ 6. **Add 1 to both sides to isolate $u$:** $$5 + 1 \leq u - 1 + 1$$ 7. **Simplify:** $$6 \leq u$$ 8. **Final answer:** $$u \geq 6$$ This means $u$ is any number greater than or equal to 6.