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

4/3 d≥−20

3/4 (4/3)d≥−20(3/4)

d≥−15

(1 point)
Responses

Multiplication Property of Inequality
Multiplication Property of Inequality

Subtraction Property of Inequality
Subtraction Property of Inequality

Division Property of Inequality
Division Property of Inequality

Addition Property of Inequality
Addition Property of Inequality

1 answer

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

In the process, both sides of the inequality \( \frac{4}{3}d ≥ -20 \) were multiplied by \( \frac{3}{4} \), which is a positive number. According to the Multiplication Property of Inequality, when you multiply or divide both sides of an inequality by a positive number, the direction of the inequality does not change.

Thus, the correct response is:

Multiplication Property of Inequality.