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 Subtraction Property of Inequality Subtraction Property of Inequality Multiplication Property of Inequality Multiplication Property of Inequality Addition Property of Inequality

Answer 1

In the solution process you provided, the step where both sides of the inequality \( 43d \geq -20 \) are multiplied by 34 is justified by the Multiplication Property of Inequality. This property states that if you multiply or divide both sides of an inequality by a positive number, the direction of the inequality remains the same.

In your case, since 34 is positive, multiplying both sides by 34 maintains the inequality. Therefore, the correct justification for the steps shown is:

Multiplication Property of Inequality.