What property of inequality justifies the steps shown in the following solution process?

Question

4/3d≥−20

3/4(4/3)d≥−20(3/4)

d≥−15

(1 point)

Answer 1

The property of inequality that justifies the steps shown in the solution process is the Multiplication Property of Inequalities.

According to this property, when you multiply both sides of an inequality by a positive number, the inequality remains unchanged. In this case, multiplying both sides of the inequality \(4/3d \geq -20\) by \(3/4\) (which is a positive number) results in:

\[ \frac{3}{4} \left( \frac{4}{3}d \right) \geq -20 \left( \frac{3}{4} \right) \]

This leads to:

\[ d \geq -15 \]

So, the reason this step is valid is due to the Multiplication Property of Inequalities.