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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

Multiplication Property of Inequality
Multiplication Property of Inequality
Subtraction Property of Inequality
Subtraction Property of Inequality
Division Property of Inequality
Division Property of Inequality
Addition Property of Inequality

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
24 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, which is consistent with the Subtraction Property of Inequality that states if you subtract the same number from both sides of an inequality, the inequality remains true.