Question

Not sure ^^^^^^^^^^^^^

Answer 1

$( -\frac{x}{7} )+ 4 - 3(x) \ \textgreater \ 0$
Solve this: $\frac{x}{7}$
Take the '0' from behind the equal sign in the first step
$0 - \frac{x}{7} + 4 - 3x \ \textgreater \ ?$
$\frac{-4(7)}{7}$
$-7(4) = 28 - x$
$\frac{28 - x}{7}$ $- 3(x0 \ \textgreater \ ?$
$\frac{3(x)}{7}$
Your inequality plot would be: $-3.143 (4.0) \ \textless \ 0$
We have One Solution in this problem
Your answer would be: $x\ \textless \ \frac{14}{11}$  if we added $\frac{14}{11}$ both sides of the inequality plot 

Side Note: You don't have to do this method to solve inequalities, you can do whatever helps you out more 

So, you're correct with your answer as C. 

Answer 2

$\dfrac{-x}{7}+4\geq3x\\ -x+28\geq21x\\ 22x\leq28\\ x\leq\dfrac{28}{22}\\ x\leq\dfrac{14}{11}$