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

Subtraction Property of Inequality
Subtraction Property of Inequality

Division Property of Inequality
Division Property of Inequality

Multiplication Property of Inequality
Multiplication Property of Inequality

Addition 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.

In Step 2, you are subtracting 42 from both sides of the inequality, which is in accordance with this property that states if you subtract the same number from both sides of an inequality, the inequality remains true.