We have to check if the point (3, 4) satisfy the inequality 4x+2y >= 6.
We can check by replacing x and y with the point coordinates:
[tex]\begin{gathered} 4(3)+2(4)\ge6 \\ 12+8\ge6 \\ 20\ge6\text{ --> True} \end{gathered}[/tex]As the inequality is true, we know that the point is a solution to the inequality.
Answer: Yes, it is a solution.