To determine the resulting inequality, we'll follow these steps methodically:
1. Start with the given inequality:
[tex]\[ -125 \geq -135 \][/tex]
2. Next, we are told to divide both sides of the inequality by -5. When dividing both sides of an inequality by a negative number, you must remember to reverse the direction of the inequality sign.
So, when we divide:
[tex]\[ \frac{-125}{-5} \quad \text{and} \quad \frac{-135}{-5}, \][/tex]
we get:
[tex]\[ 25 \quad \text{and} \quad 27 \][/tex]
respectively.
3. Therefore, the inequality sign flips:
[tex]\[ 25 \leq 27 \][/tex]
The resulting true inequality is:
[tex]\[ 25 \leq 27 \][/tex]
So, the correct answer is:
[tex]\[ \boxed{25 \leq 27} \][/tex]
