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

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

GPT-4o mini · Answer

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 amount from both sides of an inequality, the inequality remains true.

In Step 2, the equation \(-18w + 42 - 42 > -66 - 42\) demonstrates this property by subtracting \(42\) from both sides.