Question

The table below shows an inequality and a number by which to divide both sides.

Inequality
Divide each
side by
Negative 125 greater-than-or-equal-to negative 135
Negative 5

What is the resulting true inequality?
Negative 25 less-than-or-equal-to negative 27
Negative 25 greater-than-or-equal-to negative 27
25 greater-than-or-equal-to 27
25 less-than-or-equal-to 27

Answer 1

When you divide both sides by -5 you must reverse the inequality sign.

-125 ≥ -135 → (-125)/(-5) ≤ (-135)/(-5) → 25 ≤ 27.

So the correct choice is: 25 less-than-or-equal-to 27.