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
Responses
Division Property of Inequality
Subtraction Property of Inequality
Multiplication Property of Inequality
Addition Property of Inequality
Well, it looks like you've got yourself in a mathematical pickle. So, which property of inequality can justify Step 2? Drumroll, please... it's the Subtraction Property of Inequality! Just like a magician, you can magically subtract the same number from both sides of an inequality and the inequality STILL holds true. It's like pulling a rabbit out of a hat, except instead of a rabbit, you get a correct equation. Ta-da!
The property of inequality that justifies the math in Step 2 is the Subtraction Property of Inequality. This property states that if we subtract the same number from both sides of an inequality, the inequality remains true. In Step 2, we subtracted 42 from both sides of the inequality to isolate the variable and simplify the expression.
The property of inequality used in Step 2 is the Subtraction Property of Inequality. This property states that if we subtract the same value from both sides of an inequality, the inequality remains unchanged.
In Step 2, we have the inequality −18w > −108. To isolate the variable w, we subtract 42 from both sides of the inequality. This step is justified by the Subtraction Property of Inequality. By subtracting 42 from both sides, we maintain the inequality relationship.
We subtract 42 from both sides to get:
−18w + 42 - 42 > −108 - 42
Simplifying both sides of the inequality gives us:
−18w > −150
This step allows us to further simplify the inequality, which leads to the final solution w < 6 in Step 3.