1. **State the problem:** Solve the inequality $$-1 \leq 1 - \frac{4t}{5}$$ for $t$. 2. **Write down the inequality:** $$-1 \leq 1 - \frac{4t}{5}$$ 3. **Isolate the term with $t$:** Subtract 1 from both sides: $$-1 - 1 \leq - \frac{4t}{5}$$ $$-2 \leq - \frac{4t}{5}$$ 4. **Multiply both sides by $-1$ to remove the negative sign:** Remember, multiplying an inequality by a negative number reverses the inequality sign: $$2 \geq \frac{4t}{5}$$ 5. **Multiply both sides by 5 to clear the denominator:** $$10 \geq 4t$$ 6. **Divide both sides by 4:** $$\frac{10}{4} \geq t$$ 7. **Simplify the fraction:** $$\frac{10}{4} = \frac{5}{2} = 2.5$$ 8. **Final solution:** $$t \leq 2.5$$ Since $2.5$ is the same as $\frac{5}{2}$, and none of the options exactly show $2.5$, check the options carefully. Option b is $t \leq 112$, which is much larger. Option c is $t \leq -\frac{3}{4}$, which is negative. Option d is $t \geq 112$, which is incorrect. Option a is $t \leq 1$, which is less than $2.5$ but still a valid inequality if the solution is $t \leq 2.5$. Since the exact solution is $t \leq 2.5$, none of the options exactly match, but the closest and correct inequality form is $t \leq 2.5$. **If the options are as given, the correct answer is none exactly, but if $112$ is a typo for $\frac{1}{2}$ or $1.12$, then option b or a might be considered.** **Assuming option a is $t \leq 1$, which is a subset of the solution $t \leq 2.5$, the best choice is option a.**