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

The property of inequality that justifies the math in Step 2 is the addition property of inequality. This property states that if you add the same number to both sides of an inequality, the inequality remains unchanged. In this case, 42 is added to both sides of the inequality.

The property of inequality that justifies the math in Step 2 is the addition property of inequality. This property states that if we add the same number to both sides of an inequality, the inequality remains true. In Step 2, we subtracted 42 from both sides of the inequality. This step is justified by the addition property of inequality, allowing us to simplify the equation further.