Answer:
Multiplication Property of Inequality .
Explanation:
The property of inequality that justifies the steps shown in the solution process is:
C. Multiplication Property of Inequality
Here's an explanation of how this property is applied in the solution process:
1. The original inequality is 4/3d ≥ -20.
2. To isolate the variable d, the equation is multiplied by the reciprocal of 4/3, which is 3/4. This is done to maintain the inequality while getting rid of the fraction. The Multiplication Property of Inequality states that if you multiply or divide both sides of an inequality by a positive number, the inequality sign remains the same.
3. Multiplying both sides of the inequality by 3/4, we get (3/4)(4/3)d ≥ (-20)(3/4).
4. Simplifying the expression on both sides, we have (1)d ≥ -15.
5. Since any number multiplied by 1 is itself, we can rewrite the equation as d ≥ -15.
Therefore, the solution process used the Multiplication Property of Inequality to justify the steps taken.