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

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, 42 is subtracted from both sides of the inequality:

\[
−18w + 42 - 42 > -66 - 42
\]

This maintains the inequality while simplifying it.