Answer :

Given:

[tex]2\mleft(4x-2\mright)>2x+14[/tex]

To graph the solution to the given inequality:

Solving the inequality,

[tex]\begin{gathered} 2\mleft(4x-2\mright)>2x+14 \\ 8x-4>2x+14 \\ 6x>18 \\ x>\frac{18}{3} \\ x>6 \end{gathered}[/tex]

Thus, the solution is,

[tex]x>6[/tex]

The graph is,

View image BrendalyU159799