1. **State the problem:** Solve the inequality $$82 \geq 21 - t$$ for the variable $t$. 2. **Understand the inequality:** The symbol $\geq$ means "greater than or equal to." We want to find all values of $t$ such that $82$ is greater than or equal to $21 - t$. 3. **Isolate $t$ on one side:** Start by subtracting $21$ from both sides to move constants to one side. $$82 - 21 \geq 21 - t - 21$$ 4. **Simplify both sides:** $$61 \geq -t$$ 5. **Multiply both sides by $-1$ to solve for $t$:** Remember, multiplying or dividing an inequality by a negative number reverses the inequality sign. $$\cancel{-1} \times 61 \leq \cancel{-1} \times (-t)$$ which simplifies to $$-61 \leq t$$ 6. **Rewrite the solution:** $$t \geq -61$$ **Answer:** The solution to the inequality is $$t \geq -61$$, meaning $t$ can be any number greater than or equal to $-61$.