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

Question

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

Division Property of Inequality
Division Property of Inequality

Multiplication Property of Inequality
Multiplication Property of Inequality

Subtraction Property of Inequality
Subtraction 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 subtract 42 from both sides of the inequality \(-18w + 42 > -66\).