Answer
$$\text{D}$$
Work Step by Step
Solve the inequality to obtain:
\begin{align*}
5(2x)+5(4)&\ge2(x)+2(34) &\text{Use distributive property.}\\
10x+20&\ge2x+68 &\text{Simplify.}\\
10x-2x&\ge68-20 &\text{Isolate the $x$-terms on the left side.}\\
8x&\ge48 &\text{Simplify.}\\
\frac{8x}{8}&\ge \frac{48}{8} &\text{Divide $8$ to both sides.}\\
x&\ge 6
\end{align*}
Thus, any number that is greater than or equal to $6$ is a solution to the given inequality.
Among the choices, only $3$ is less than $6$.
Therefore, the answer is Option $\text{D}$.
