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

43d≥−20

34(43)d≥−20(34)

d≥−15

(1 point)
Responses

Addition Property of Inequality
Addition Property of Inequality

Subtraction Property of Inequality
Subtraction Property of Inequality

Multiplication Property of Inequality
Multiplication Property of Inequality

Division Property of Inequality

1 answer

The property of inequality that justifies the steps shown in the solution process is the Multiplication Property of Inequality. This property states that when you multiply or divide both sides of an inequality by a positive number, the direction of the inequality remains the same. In this case, both sides of the inequality \(43d \geq -20\) are multiplied by \(34\), which is a positive number, maintaining the direction of the inequality. Thus, the correct response is:

Multiplication Property of Inequality.