The inequality is given as
[tex]2+4x>14[/tex]To solve, we collect like terms:
[tex]\begin{gathered} 4x>14-2 \\ 4x>12 \end{gathered}[/tex]Dividing through by 4, we have
[tex]x>3[/tex]The graph of the inequality is shown below:
Note that the inside of the circle is not shaded because 3 is not part of the solution.
OPTION D is the correct answer.