Question

Select the correct answer.

Michael solved this inequality as shown:

Step 1: -6(x + 3) + 10 < -2
Step 2: -6x − 18 + 10 < -2
Step 3: -6x − 8 < -2
Step 4: -6x < 6
Step 5: x > -1

What property justifies the work shown between step 3 and step 4?

A. transitive property
B. division property of inequality
C. distribution property
D. addition property of inequality

Answer 1

D. addition property of inequality

Explanation:

Michael uses addition to move -8 from one side to the other one

Answer 2

D. addition property of inequality

Explanation:

Michael uses addition to move -8 from one side to the other.