what property on inequality can justify the math in step 2?

In step 2 of the inequality transformation, you are applying the **Subtraction Property of Inequality**. This property states that if you subtract the same number from both sides of an inequality, the inequality remains valid.

In your case:
1. You started with \(-18w + 42 > -66\).
2. You then subtracted \(42\) from both sides:
\[
-18w + 42 - 42 > -66 - 42
\]
which simplifies to:
\[
-18w > -108
\]

So, the property that justifies the transition from step 1 to step 2 is indeed the **Subtraction Property of Inequality**.