6. Consider the inequality 12<-3 (x + 4). Which value of xis part of the solution set of this inequality?

x < -8

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define inequality

12 < -3(x + 4)

Step 2: Solve for x

Distribute -3:                              12 < -3x - 12Add 12 to both sides:                24 < -3xDivide -3 on both sides:            -8 > xRewrite:                                      x < -8

Here we see that any value x that is smaller than -8 would work.

To express the volume of both trucks in a single expression, we add the expressions,
                                      8x² + 2x - 1
and also,
                                      7x² - 2x + 1
Adding the corresponding terms in the expressions will give us an answer of,
                                    15x² 
Thus, the volumes of the trucks in a single expression is 15x².