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
1 answer
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.
