Answer
See Below
Work Step by Step
The inequality can be solved as follows:
\[\begin{align}
& 6x-10\ge 2\left( x+3 \right) \\
& 6x-10\ge 2x+6 \\
& 6x-2x-10\ge 2x-2x+6 \\
& 4x-10+10\ge 6+10 \\
\end{align}\]
\[\begin{align}
& 4x\ge 16 \\
& \frac{4x}{4}\ge \frac{16}{4} \\
& x\ge 4 \\
\end{align}\]