Subjects algebra

Solve Inequality 4B32E9

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

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.