Question

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Solving Linear Inequalities Quick Check
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Question
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

Division Property of Inequality
Division Property of Inequality

Addition Property of Inequality
Addition Property of Inequality

Multiplication Property of Inequality
Multiplication Property of Inequality

Subtraction Property of Inequality

Answer 1

The steps shown in the solution process involve multiplying both sides of the inequality \(43d \geq -20\) by \(34\). This corresponds to the **Multiplication Property of Inequality**, which states that you can multiply both sides of an inequality by a positive number without changing the inequality's direction.

So, the correct response is:

**Multiplication Property of Inequality**