[tex]\begin{cases}4x+2\ge14\\-21x+1<22\end{cases}[/tex]
In the first inequality, we have
[tex]4x+2\ge14\implies4x\ge12\implies x\ge3[/tex]
In the second, we have
[tex]-21x+1<22\implies-21x<21\implies x>-1[/tex]
The solution to the system is the intersection of these two intervals, which would be [tex]x\ge3[/tex].
