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

Question

process?
$\frac {4}{3}d\geqslant -20$
$\frac {3}{4}(\frac {4}{3})d\geqslant -20(\frac {3}{4})$
$d\geqslant -15$
(1 point)
Division Property of Inequality
Addition Property of inequality
Multiplication Property of Inequality
Subtraction Property of laequality

Answer 1

The property of inequality that justifies the steps shown in the solution process is the Multiplication Property of Inequality. This property states that when both sides of an inequality are multiplied by a positive number, the direction of the inequality remains the same.

In your solution, you have multiplied both sides of the inequality \(\frac{4}{3}d \geqslant -20\) by \(\frac{3}{4}\) (which is positive), so the direction of the inequality does not change, leading to the result \(d \geqslant -15\). Thus, the correct answer is:

Multiplication Property of Inequality.