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The property of inequality that justifies the steps shown in the solution process is the **Multiplication Property of Inequalities**.
According to this property, when you multiply both sides of an inequality by a positive number, the inequality remains unchanged. In this case, multiplying both sides of the inequality \(4/3d \geq -20\) by \(3/4\) (which is a positive number) results in:
\[
\frac{3}{4} \left( \frac{4}{3}d \right) \geq -20 \left( \frac{3}{4} \right)
\]
This leads to:
\[
d \geq -15
\]
So, the reason this step is valid is due to the **Multiplication Property of Inequalities**.