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

Answer:

     $25\leq 27$

Explanation:

1. Starting inequality:

      $-125\geq -135$

2. Divide both sides by $-5$

3. Rule

When you divide an inequality by a negative number, the inequality symbol has to be changed:

• > changes to <
• < changes to >
• ≤ changes to ≥
• ≥ changes to ≤

4. Solution

Thus, when dividing by -5 change the inequality symbol ≤ to ≤

      $\dfrac{-125}{-5}\leq \dfrac{-135}{-5}\\\\\\25\leq 27$

Answer 2

Answer: d.

Step-by-step explanation:

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