1. **State the problem:** Solve the inequality $$3 \leq \frac{t}{2.52}$$ for $t$. 2. **Formula and rules:** To isolate $t$, multiply both sides of the inequality by 2.52. Since 2.52 is positive, the inequality direction remains the same. 3. **Multiply both sides:** $$3 \leq \frac{t}{2.52}$$ Multiply both sides by 2.52: $$3 \times 2.52 \leq \frac{t}{2.52} \times 2.52$$ 4. **Cancel common factors:** $$3 \times 2.52 \leq \cancel{\frac{t}{2.52}} \times \cancel{2.52}$$ 5. **Simplify:** $$3 \times 2.52 \leq t$$ Calculate $3 \times 2.52$: $$7.56 \leq t$$ 6. **Final answer:** $$t \geq 7.56$$ This means $t$ must be greater than or equal to 7.56 to satisfy the inequality.