Question

question 4 of 10
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

Explanation:

In step 3, we have -6x - 8 < -2. To get to step 4 (-6x < 6), 8 is added to both sides of the inequality. According to the addition property of inequality, if a < b, then a + c < b + c for any real - number c. Here a=-6x - 8, b = - 2, and c = 8.

Answer:

D. addition property of inequality