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

Addition Property of Inequality
Addition Property of Inequality

Division Property of Inequality

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
11 days ago

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:

\[ -18w + 42 - 42 > -66 - 42 \]

This process uses the Subtraction Property of Inequality, which states that if you subtract the same number from both sides of an inequality, the inequality remains true.