Question

-12<-3x+9<24.solve this.

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given inequality expression

`12<-3x+9<24`

STEP 2: Simplify the inequality

For the second part

`\begin{gathered} -3x+9<24 \\ -3x<24-9 \\ -3x<15 \\ x>(15)/(-3) \\ x>-5 \end{gathered}`

Combine the two results to have:

[tex]\begin{gathered} x<7\quad \mathrm{and}\quad \:x>-5 \\ overlapping\text{ }merging\text{ }intervals \\ -5Hence, the final solution will be:[tex]-5