Question

page 13 of 13
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

Division Property of Inequality
Division Property of Inequality

Subtraction Property of Inequality
Subtraction Property of Inequality

Addition Property of Inequality
Addition Property of Inequality

Multiplication Property of Inequality
Multiplication Property of Inequality
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Answer 1

In Step 2 of the inequality problem, the operation performed is subtracting 42 from both sides of the inequality. The property that justifies this step is the **Subtraction Property of Inequality**, which states that if you subtract the same number from both sides of an inequality, the inequality remains true.

Therefore, the correct response is:

**Subtraction Property of Inequality**