Let's solve the problem step-by-step.
1. Initial Inequality:
[tex]\[ -125 \geq -135 \][/tex]
2. Dividing Both Sides by -5:
When we divide or multiply an inequality by a negative number, we must reverse the inequality sign. Here, we are dividing both sides by -5.
3. Calculating the New Values:
[tex]\[ \frac{-125}{-5} \quad \text{and} \quad \frac{-135}{-5} \][/tex]
4. Simplifying Each Side:
[tex]\[ \frac{-125}{-5} = 25 \][/tex]
[tex]\[ \frac{-135}{-5} = 27 \][/tex]
5. Reversing the Inequality Sign:
Originally, we had \( \geq \), but since we are dividing by a negative number, the sign will reverse.
[tex]\[ 25 \leq 27 \][/tex]
6. Conclusion:
The resulting true inequality is:
[tex]\[ 25 \leq 27 \][/tex]
So, the final correct answer is:
[tex]\[ \boxed{25 \leq 27} \][/tex]
