Question

Please help me to do this problem please.

Answer 1

In order to find the solution of this compound inequation, let's first divide it in two inequations:

`\begin{cases}-2\le3x+4 \\ 3x+4<13\end{cases}`

Solving the first inequation, we have:

`\begin{gathered} -2\le3x+4_{} \\ -2-4\le3x \\ -6\le3x \\ -2\le x \end{gathered}`

Now, for the second inequation, we have:

`\begin{gathered} 3x+4<13 \\ 3x<13-4 \\ 3x<9 \\ x<3 \end{gathered}`

Putting both solutions together:

`-2\le x<3`

So the correct option is C.