Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

The property of inequality that justifies the math in Step 2 is the property of additive inverse. This property states that adding the additive inverse (or the negation) of a number to both sides of an inequality does not change the direction of the inequality.