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 (1 point) Responses Subtraction Property of Inequality Subtraction Property of Inequality Multiplication Property of Inequality Multiplication Property of Inequality Division Property of Inequality Division Property of Inequality Addition Property of Inequality

Answer 1

The property of inequality that justifies the math in Step 2 is the Subtraction Property of Inequality. This property states that if you subtract the same number from both sides of an inequality, the inequality remains true.

In Step 2, you are subtracting 42 from both sides of the inequality \(-18w + 42 > -66\), which is consistent with this property.