In order to find the solution of this compound inequation, let's first divide it in two inequations:
[tex]\begin{cases}-2\le3x+4 \\ 3x+4<13\end{cases}[/tex]
Solving the first inequation, we have:
[tex]\begin{gathered} -2\le3x+4_{} \\ -2-4\le3x \\ -6\le3x \\ -2\le x \end{gathered}[/tex]
Now, for the second inequation, we have:
[tex]\begin{gathered} 3x+4<13 \\ 3x<13-4 \\ 3x<9 \\ x<3 \end{gathered}[/tex]
Putting both solutions together:
[tex]-2\le x<3[/tex]
So the correct option is C.
