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

Subtraction Property of Inequality
Subtraction Property of Inequality

Division Property of Inequality
Division Property of Inequality

Addition Property of Inequality
Addition Property of Inequality

Multiplication Property of Inequality
Multiplication Property of Inequality

Answer 1

The property 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, you see that 42 is subtracted from both sides of the inequality, which aligns with this property.

So, the correct response is:

**Subtraction Property of Inequality**