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)
Subtraction Property of Inequality
Division Property of Inequality
Addition Property of Inequality
Multiplication Property of Inequality
Multiplication Property of Inequality
The property of inequality that justifies the steps shown in the solution process is the Multiplication Property of Inequality.
The property of inequality that justifies the steps shown in the solution process is the Multiplication Property of Inequality.
To explain the steps, let's break down each one:
Step 1: 4/3 * d >= -20
The inequality is multiplied by 4/3 on both sides to eliminate the fraction. According to the Multiplication Property of Inequality, if you multiply or divide both sides of an inequality by a positive number, the inequality sign remains the same. Therefore, the equation remains valid.
Step 2: 3/4 * (4/3) * d >= -20(3/4)
In this step, the fraction 4/3 is canceled out because when you multiply a number by its reciprocal, you get 1. As a result, the equation becomes 3/4 * d >= -20(3/4).
Step 3: d > -15
In this final step, the equation is simplified by multiplying -20 by 3/4, which results in -15. The expression becomes d >= -15, which means that d could equal -15 or any number greater than -15.
In summary, the solution process demonstrates the use of the Multiplication Property of Inequality because it involves multiplying both sides of the inequality by the same number to simplify the equation without changing the inequality.