1. **State the problem:** Solve the inequality $$-1 \leq 1 - \frac{4t}{5}$$.
2. **Isolate the variable term:** Subtract 1 from both sides:
$$-1 - 1 \leq 1 - \frac{4t}{5} - 1$$
which simplifies to
$$-2 \leq - \frac{4t}{5}$$.
3. **Multiply both sides by -1:** Remember, multiplying an inequality by a negative number reverses the inequality sign:
$$2 \geq \frac{4t}{5}$$.
4. **Multiply both sides by 5 to clear the denominator:**
$$2 \times 5 \geq 4t$$
which gives
$$10 \geq 4t$$.
5. **Divide both sides by 4:**
$$\frac{10}{4} \geq t$$
which simplifies to
$$2.5 \geq t$$ or equivalently $$t \leq 2.5$$.
**Final answer:** $$t \leq 2.5$$.
This means all values of $$t$$ less than or equal to 2.5 satisfy the inequality.
Solve Inequality 4B32E9
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