What property of inequality can justify the math in Step 2?

Question

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)

Answer 1

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, you are subtracting 42 from both sides of the inequality:

\[ -18w + 42 - 42 > -66 - 42 \]

This results in:

\[ -18w > -108 \]

Thus, the use of the Subtraction Property of Inequality in Step 2 is justified.