Answer
See Below
Work Step by Step
Consider the inequality for the variable x,
\[\begin{align}
& 4x-2>2\left( x+6 \right) \\
& 4x-2>2x+12 \\
& 4x-2x>12+2 \\
& 2x>14
\end{align}\]
It implies that,
\[x>7\]
The value is x is more than 7. On number line it states that all the numbers which are ahead of 7 moving from left to right are the values which satisfy x
Hence, the graph of the simplified form of the inequality on the number line is shown above.
