What property of inequality can justify the math in Step 2?

Step 1:

−6(3w−7)>−66

−18w+42>−66

Step 2:

−18w+42−42>−66−42

−18w>−108

Step 3:

−18w−18>−108−18

w<6

The property of inequality that is used in Step 2 is the addition property of inequality.

The property of inequality that justifies the math in Step 2 is the addition property of inequality. According to this property, if we subtract the same number from both sides of an inequality, the inequality remains unchanged. In Step 2, we subtracted 42 from both sides of the inequality, resulting in the inequality −18w > −108.