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
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
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
Answers
GPT-4o mini
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.
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.