select the correct answer. michael solved this inequality as shown: step 1: -6(x + 3)+10 < -2 step 2: -6x…

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

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

Answer:

D. addition property of inequality

Explanation:

Step1: Analyze step 3 and 4

In step 3, we have (-6x - 8 < - 2). In step 4, we have (-6x<6).

Step2: Identify the operation

We added 8 to both sides of the inequality (-6x - 8 < - 2). According to the addition - property of inequality, if (a < b), then (a + c < b + c). Here (a=-6x - 8), (b = - 2) and (c = 8), so (-6x-8 + 8<-2 + 8) which simplifies to (-6x<6).