Question
Solving Linear Inequalities Quick Check
2 of 52 of 5 Items
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
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
Addition Property of Inequality
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Answers
GPT-4o mini
The property of inequality that can justify 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 line with the Subtraction Property of Inequality that states if you subtract the same number from both sides of an inequality, the inequality remains true.
So the correct response is:
**Subtraction Property of Inequality**
In Step 2, you are subtracting 42 from both sides of the inequality, which is in line with the Subtraction Property of Inequality that states if you subtract the same number from both sides of an inequality, the inequality remains true.
So the correct response is:
**Subtraction Property of Inequality**